BARTELS, District Judge.
This appeal involves the admission of a novel application of untested mathematical and astronomical theories at appellant’s perjury trial. Appellant was convicted of perjury in violation of 18 U.S.C. § 1623 following a bench trial. The indictment of Walter Tranowski (Walter) stemmed from testimony he had given at the earlier trial of his brother Stanley Tranowski (Stanley) for uttering a counterfeit $5 bill at a Burger King restaurant on the afternoon of May 12, 1974. In addition to his evidentiary challenge, Walter further alleges that the trial judge was improperly exposed to his past record of arrests and convictions.
I. Stanley’s Trial: The Alibi Defense
In order to focus upon the materiality of the issues at Walter’s trial, it is appropriate, if not necessary, to relate the pertinent evidence at Stanley’s trial. At that trial Michelle Bonsanto, an employee of the Burger King restaurant at Cicero and North Avenue in Chicago, testified that on May 12, 1974, a little after 4 p. m., a person subsequently identified as Stanley made a purchase of two so-called Burger King “Whoppers” for which he paid $5 with a counterfeit bill. She described the purchaser to the assistant manager David Joehum as being white, of average height, in his 40’s, with dark hair, wearing an overcoat and carrying a newspaper under one arm. Joehum then conferred with Burger King manager Ed Peterson about the bill. Immediately thereafter both gave chase; within minutes Joehum and Peterson spotted the individual described by Bonsanto heading west on the opposite side of the street. After Joehum and Peterson crossed the street, the individual started running. Neither Peterson nor Joehum was able to keep abreast after running through alleys and yards.
It so happened that at the time one Peter McGhee and a number of friends with whom he had been playing soccer saw the chase and joined the pursuit. Although they reached a point where they were able to confront the fleeing individual, he quickly ran off again and the chase was aban[752]*752doned. Soon afterwards, McGhee found a Burger King bag containing two uneaten “Whoppers” in a garbage can in a yard through which the individual had run. McGhee had been an employee at the Nor-Claire Drug Store for several years, and recognized the individual he had been chasing as a regular customer of the drug store. From McGhee’s description, the store manager recalled that the individual had purchased a newspaper at the store on May 12, 1974 between 6:30 and 7 p. m. He testified at the trial that this individual, accompanied by another person later identified as his brother Walter, had purchased a newspaper on the average of four or five times a week since May 1973. Both McGhee and the store manager were able to make in-court identifications of Walter and Stanley Tranowski.
Walter took the stand in Stanley’s defense. He testified — the government alleges perjuriously — that he took a photograph (Gov’t Ex. 4-A, of which an enlargement, introduced as Gov’t Ex. 8, is attached) of Stanley, their mother Mrs. Cecelia Kniebusch, and a dog named Jerry in the backyard of the Kniebusch-Tranowski home on May 12, 1974 (Mother’s Day), between the hours of 2:00 and 3:00 p. m. Walter further testified that he and Stanley went after-wards to the Diplomat Steak House, and then to a wake. He stated that he was in his brother’s company until 7:25 that evening. If true, Walter’s testimony gave Stanley an alibi to the charge that he passed a counterfeit bill at the Burger King that day. The jury, however, ' rejected Stanley’s alibi defense and returned a verdict of guilty on December 16, 1977. Walter was not indicted for perjury until June 29, 1979.1
II. Walter’s Trial: Evidence of Walter’s Perjury Ciupik’s Testimony
The burden rested on the government to prove beyond a reasonable doubt that Walter knew he was giving false testimony when he stated that Stanley was in his company throughout the afternoon of May 12, 1974. Since there was no testimony directly rebutting Walter’s statements as to his whereabouts in the late afternoon of that day, the government’s case rested on a rebuttal of the testimony surrounding the picture-taking in the family backyard. To establish the falsity of Walter’s statements, the government offered the testimony of an astronomer, Larry Ciupik, that the photograph alleged to have been taken on May 12 could not have been taken on that day. Instead of May 12, Ciupik testified that the photo could have been taken on the morning of one of two other days — April 13 or August 31, 1974.
Ciupik testified that he was an associate astronomer at the Adler Planetarium in Chicago, working chiefly as the Observatory Director; he had authored two children’s books on astronomy, worked as a consultant for Rand, McNally, and written articles for [753]*753McGraw-Hill’s Yearbook of Science and Technology. He had taught astronomy to gifted high school students, and was a member of a local professional organization. He was accepted by the court, without objection, as an expert capable of making astronomical calculations. Ciupik testified that as it revolves around the sun, the earth is fixed in its orientation towards the North Star. The sun’s path as we perceive it in the daytime sky therefore repeats itself from year to year. Twice a year, on dates equidistant from the summer or winter solstices, the sun will be in precisely the same location with respect to both,the horizon and the North Star. Ciupik then expounded the theory that if one knew the compass orientation of an object in a photograph, it would be possible to date that photograph by: 1) measuring the directional angle of the shadow cast by that object to determine the azimuth of the sun;2 and 2) measuring the angle of elevation of a complete shadow cast by another object in the photograph to determine the altitude of the sun.3 Ciupik stated that the intersection point of the altitude and the azimuth, defining the sun’s position in the sky, corresponds to the only two dates of the year on which the photo could have been taken.4
Ciupik further testified that he could determine those two dates by entering his findings for altitude and azimuth on a “sun chart” (Gov’t Ex. 7A, attached). Although Ciupik could not ascertain who prepared the chart, or even under whose supervision it had been prepared some fifteen years ago, he testified that he had verified its accuracy with an Analog Computer and through continued usage. He stated, however, that the lines on the chart corresponding to the sun’s path in the daytime sky were based on the sun’s path on the 22nd day of each month, and that one would be compelled to interpolate the data obtained through his reverse calculations in order to determine the sun’s position on any other day. Moreover, the only purpose for which the chart had been used in the past was to measure the height of lunar mountains.5 The chart, a pivotal piece of evidence, was nevertheless admitted over Tranowski’s objection that it was unverified, hearsay, and therefore formed an inadequate basis for Ciupik’s calcula[754]*754tions.
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BARTELS, District Judge.
This appeal involves the admission of a novel application of untested mathematical and astronomical theories at appellant’s perjury trial. Appellant was convicted of perjury in violation of 18 U.S.C. § 1623 following a bench trial. The indictment of Walter Tranowski (Walter) stemmed from testimony he had given at the earlier trial of his brother Stanley Tranowski (Stanley) for uttering a counterfeit $5 bill at a Burger King restaurant on the afternoon of May 12, 1974. In addition to his evidentiary challenge, Walter further alleges that the trial judge was improperly exposed to his past record of arrests and convictions.
I. Stanley’s Trial: The Alibi Defense
In order to focus upon the materiality of the issues at Walter’s trial, it is appropriate, if not necessary, to relate the pertinent evidence at Stanley’s trial. At that trial Michelle Bonsanto, an employee of the Burger King restaurant at Cicero and North Avenue in Chicago, testified that on May 12, 1974, a little after 4 p. m., a person subsequently identified as Stanley made a purchase of two so-called Burger King “Whoppers” for which he paid $5 with a counterfeit bill. She described the purchaser to the assistant manager David Joehum as being white, of average height, in his 40’s, with dark hair, wearing an overcoat and carrying a newspaper under one arm. Joehum then conferred with Burger King manager Ed Peterson about the bill. Immediately thereafter both gave chase; within minutes Joehum and Peterson spotted the individual described by Bonsanto heading west on the opposite side of the street. After Joehum and Peterson crossed the street, the individual started running. Neither Peterson nor Joehum was able to keep abreast after running through alleys and yards.
It so happened that at the time one Peter McGhee and a number of friends with whom he had been playing soccer saw the chase and joined the pursuit. Although they reached a point where they were able to confront the fleeing individual, he quickly ran off again and the chase was aban[752]*752doned. Soon afterwards, McGhee found a Burger King bag containing two uneaten “Whoppers” in a garbage can in a yard through which the individual had run. McGhee had been an employee at the Nor-Claire Drug Store for several years, and recognized the individual he had been chasing as a regular customer of the drug store. From McGhee’s description, the store manager recalled that the individual had purchased a newspaper at the store on May 12, 1974 between 6:30 and 7 p. m. He testified at the trial that this individual, accompanied by another person later identified as his brother Walter, had purchased a newspaper on the average of four or five times a week since May 1973. Both McGhee and the store manager were able to make in-court identifications of Walter and Stanley Tranowski.
Walter took the stand in Stanley’s defense. He testified — the government alleges perjuriously — that he took a photograph (Gov’t Ex. 4-A, of which an enlargement, introduced as Gov’t Ex. 8, is attached) of Stanley, their mother Mrs. Cecelia Kniebusch, and a dog named Jerry in the backyard of the Kniebusch-Tranowski home on May 12, 1974 (Mother’s Day), between the hours of 2:00 and 3:00 p. m. Walter further testified that he and Stanley went after-wards to the Diplomat Steak House, and then to a wake. He stated that he was in his brother’s company until 7:25 that evening. If true, Walter’s testimony gave Stanley an alibi to the charge that he passed a counterfeit bill at the Burger King that day. The jury, however, ' rejected Stanley’s alibi defense and returned a verdict of guilty on December 16, 1977. Walter was not indicted for perjury until June 29, 1979.1
II. Walter’s Trial: Evidence of Walter’s Perjury Ciupik’s Testimony
The burden rested on the government to prove beyond a reasonable doubt that Walter knew he was giving false testimony when he stated that Stanley was in his company throughout the afternoon of May 12, 1974. Since there was no testimony directly rebutting Walter’s statements as to his whereabouts in the late afternoon of that day, the government’s case rested on a rebuttal of the testimony surrounding the picture-taking in the family backyard. To establish the falsity of Walter’s statements, the government offered the testimony of an astronomer, Larry Ciupik, that the photograph alleged to have been taken on May 12 could not have been taken on that day. Instead of May 12, Ciupik testified that the photo could have been taken on the morning of one of two other days — April 13 or August 31, 1974.
Ciupik testified that he was an associate astronomer at the Adler Planetarium in Chicago, working chiefly as the Observatory Director; he had authored two children’s books on astronomy, worked as a consultant for Rand, McNally, and written articles for [753]*753McGraw-Hill’s Yearbook of Science and Technology. He had taught astronomy to gifted high school students, and was a member of a local professional organization. He was accepted by the court, without objection, as an expert capable of making astronomical calculations. Ciupik testified that as it revolves around the sun, the earth is fixed in its orientation towards the North Star. The sun’s path as we perceive it in the daytime sky therefore repeats itself from year to year. Twice a year, on dates equidistant from the summer or winter solstices, the sun will be in precisely the same location with respect to both,the horizon and the North Star. Ciupik then expounded the theory that if one knew the compass orientation of an object in a photograph, it would be possible to date that photograph by: 1) measuring the directional angle of the shadow cast by that object to determine the azimuth of the sun;2 and 2) measuring the angle of elevation of a complete shadow cast by another object in the photograph to determine the altitude of the sun.3 Ciupik stated that the intersection point of the altitude and the azimuth, defining the sun’s position in the sky, corresponds to the only two dates of the year on which the photo could have been taken.4
Ciupik further testified that he could determine those two dates by entering his findings for altitude and azimuth on a “sun chart” (Gov’t Ex. 7A, attached). Although Ciupik could not ascertain who prepared the chart, or even under whose supervision it had been prepared some fifteen years ago, he testified that he had verified its accuracy with an Analog Computer and through continued usage. He stated, however, that the lines on the chart corresponding to the sun’s path in the daytime sky were based on the sun’s path on the 22nd day of each month, and that one would be compelled to interpolate the data obtained through his reverse calculations in order to determine the sun’s position on any other day. Moreover, the only purpose for which the chart had been used in the past was to measure the height of lunar mountains.5 The chart, a pivotal piece of evidence, was nevertheless admitted over Tranowski’s objection that it was unverified, hearsay, and therefore formed an inadequate basis for Ciupik’s calcula[754]*754tions. On cross-examination, Ciupik admitted that although he had made numerous measurements of lunar mountains with the aid of the chart, neither he nor anyone else as far as he knew had ever used it prior to this trial for the purpose of dating a photograph. Nor could he point to any published text suggesting or detailing the method one would use for such calculations. Finally, there was no evidence that Ciupik’s skill in measuring lunar mountains had ever been verified or corroborated.
Neighbors’ Testimony
While Ciupik’s testimony was the most telling evidence of Walter’s guilt, the government also called two next-door neighbors of the Kniebusch-Tranowski household, Mrs. Florence Lojkutz and Mrs. Johanna Dressel.6 Mrs. Lojkutz testified that she had known both Walter and Stanley for over twenty years; she recognized certain photographs (Gov’t Exs. 4B-4E) as having been taken by Walter and Stanley in the front of their mother’s house sometime after July 3, 1974. She insisted that the photos could not have been taken any earlier than that date, because she only witnessed the picture-taking session after being summoned to the window by her dog Fonzie’s bark, a dog she first acquired the day before July 4, 1974. Moreover, Mrs. Lojkutz recalled the date clearly because she had only recently purchased a peach-colored gown, and noticed that Mrs. Kniebusch was wearing a similarly-colored gown at the time the pictures were taken. She testified that she did not, however, see the photograph on which Ciupik based his calculations being taken in the backyard of the house, and was of course therefore unable to express any opinion as to when it had been taken.
Mrs. Dressel, also a long-time neighbor, recalled that on April 29, 1974 she had had certain plumbing work done, and was sure that the photograph in question had been taken some three or four months after that date.7 She further testified that the Kniebuseh-Tranowskis were often taking pictures, but although she was shown several others in addition to the photo in question, she was unable to state when they had been taken.
III. Discussion
Appellant claims that his conviction was irreparably tainted by the admission of the “scientific evidence” of the astronomer because the “chart” on the basis of which the witness made his calculations was of unknown origin and unknown accuracy, and the method by which the witness made such calculations had no indicia of reliability and no acceptance in the scientific community. Since the indictment was expressly predicated on Walter’s statements that the photograph (Ex. 4A) was taken between 2 and 3 p. m. on May 12, 1974, the conviction depended upon the admissibility of the astronomer’s testimony and the acceptability of the chart upon which his testimony rested.
The applicable Federal Rules of Evidence are Rules 702 and 703, which deal with testimony by experts8 and the acceptable bases for their opinions.9 There is no ques[755]*755tion that Ciupik was qualified as an expert in astronomy by knowledge, skill, experience and education and, as such, was eligible to express an opinion on the subject which was “beyond the ken of the ordinary layman.” United States v. Cyphers, 553 F.2d 1064, 1072 (7th Cir.), cert. denied, 434 U.S. 834,98 S.Ct. 142, 54 L.Ed.2d 107 (1977). It was thereafter up to the trial judge within his broad discretion to decide whether the admission of the expert’s testimony might assist him in his determination. Hamling v. United States, 418 U.S. 87, 108, 94 S.Ct. 2887, 2902, 41 L.Ed.2d 590 (1974); United States v. Dellinger, 472 F.2d 340, 382-83 (7th Cir. 1972), cert. denied, 410 U.S. 970, 93 S.Ct. 1443, 35 L.Ed.2d 706 (1973). Unless manifestly erroneous, his ruling will not be disturbed. Cyphers; United States v. Stifel, 433 F.2d 431 (6th Cir. 1970), cert. denied, 401 U.S. 994, 91 S.Ct. 1232, 28 L.Ed.2d 531 (1971).
Ciupik’s qualification as an expert is only the beginning of the case. The admissibility of his testimony was intertwined with the quality of the data on which it was based. The court decided to admit both the data, F.R.E. 104(a), and Ciupik’s opinion testimony in the form of calculations based on that data, F.R.E. 702. The underlying data in this case consisted of the photograph and the sun chart. Since Tranowski originally introduced the photograph in support of his own testimony at Stanley’s trial he, of course, has not objected here to its admission, but only to the method used to date it. The chart, however, is in a different category. He claims that it was inadmissible as hearsay, and in violation of his Sixth Amendment right to confront his accusers. Even though its origin was unknown, according to the testimony the chart had been used for some time to delineate the sun’s path as viewed from Chicago on the 22th day of each month. In admitting the chart over Tranowski’s objection, the trial court said:
Based upon the witness’ testimony that the chart is verified in usage, and its continuing use is a continuing verification of it, I’ll overrule the objection and it may be admitted.
In essence, the trial court deemed the chart to be admissible because it had “circumstantial guarantees of trustworthiness.” F.R.E. 804(b)(5). The difficulty we have with this ruling is that while the chart might have been admissible for the purpose of assisting Ciupik to measure the height of lunar mountains, the chart had never been verified in usage for the particular purpose for which it was offered at trial, viz., the dating of photographs. It is true that under Rule 703 Ciupik’s opinion evidence might have been admitted without the chart itself, if it had been shown that astronomers who engaged in the field of analyzing and dating photographs would rely on such a chart in making their calculations.10 But this was never shown, either by Ciupik’s testimony, or by evidence of published reports, or by earlier experiments. The chart being unverified for its accuracy in dating photographs, and not being relied on by experts in the field other than Ciupik, lacked any “circumstantial guarantees of trustworthiness.” Since there remains no other theory upon which it could have been admitted, it was error to have ruled otherwise.
Aside from the untrustworthiness of the chart, and in spite of the particularly wide discretion of a trial judge in admitting or not admitting expert testimony, Hamling v. United States, 418 U.S. at 108, 94 S.Ct. at [756]*7562902, we believe that the technology Ciupik relied on was not “sufficiently established to have gained general acceptance in the particular field to which it belongs.” Frye v. United States, 293 F. 1013, 1014 (D.C.Cir.1923); United States v. Brown, 557 F.2d 541, 556 (6th Cir. 1977). This is not because Ciupik invoked a new test or theory, for “[e]very new development must have its first day in court,” Stifel, 433 F.2d at 438, nor is it because Ciupik was not absolutely certain of his conclusions, since his lack of certainty goes to the weight, not the admissibility of the evidence. Cyphers, 553 F.2d at 1072-73.
In reaching our conclusion it is unnecessary to question the soundness, as a theoretical proposition, of dating a photograph by means of measuring the lengths of shadows on the photo and then trigonometrically calculating the altitude and azimuth of the sun. Our rejection is addressed to Ciupik’s application of that theory to the photograph in question. This should not be surprising, since neither Ciupik nor anyone else to his knowledge had ever attempted this procedure before. But despite the year and a half that the government had to prepare its case against Tranowski — with the photograph in its possession — Ciupik was never requested to perform any control experiments to verify the accuracy of his techniques.11
Under F.R.E. 201 this court may take judicial notice of facts “not subject to reasonable dispute,” among which are “things which must happen according to the laws of nature.” Brown v. Piper, 91 U.S. 37, 42, 23 L.Ed. 200 (1875). For example, in making comparisons of the image with the actual subject of the photograph one would have to take into account possible “distortion[s] caused by the perspective of the picture and other technical factors.” United States v. Sellers, 566 F.2d 884, 886 (4th Cir. 1977). In Sellers an expert witness was used “to explain the difficulties of making photographic comparisons because of variations in lenses, perspective, light, and development paper.” Id.
It was critical to Ciupik’s calculations that the measurements he took of the shadows on the photograph accurately reflected the actual lengths of the shadows cast at the time the photograph was taken.12 Yet no evidence was offered to substantiate these measurements by testimony as to the type of lens used, and the probable position and angle of the camera when the photograph was taken. Thus it is impossible to determine whether or not the photograph in question distorts the heights and lengths of the subjects in the Kniebusch-Tranowski family’s backyard, although it was the government’s obligation to establish that Ciupik’s calculations were not based on distortions. As it now appears, these calculations are unreliable.
Even without these variables, Ciupik’s measurements from the photograph do not demonstrate the necessary indicia of reliability. First, he failed to take into account any possible slope in the ground when he constructed the right triangle of the dog’s shadow. Uncontradicted testimony was admitted to the effect that the backyard did in fact slope somewhat. Second, the orientation of the back wall of the house in an east-west directional plane was never verified, even though it was essential to the determination of the sun’s azimuth that a precise compass orientation be obtained. [757]*757Third, an examination of the photograph convinces us that it is impossible to locate with any degree of accuracy the intersection line of the chimney with the back wall. Cf. United States v. Brown, 501 F.2d 146, 150 n.l (9th Cir. 1974), rev’d on other grounds, 422 U.S. 225, 95 S.Ct. 2160, 45 L.Ed.2d 141 (1975), where the court rejected the admission of expert testimony concerning defendant’s likeness in certain photos on the ground that the pictures were “of poor resolution and quality.”
Ciupik’s shadow measurements were the data base for his trigonometric calculations. It is not necessary to question the accuracy of those calculations; it is sufficient to note that they were predicated on unreliable premises. The resulting angles were no more than another form of the same information we have already rejected. Again, when the two angles were entered onto the sun chart, the dates and times that Ciupik arrived at could be no more accurate than his original measurements from the photograph. We believe, in fact, that they were less so. The chart itself was drawn for the 22nd day of each month; any errors in the shadow measurements would only have been compounded by the roughness of Ciupik’s interpolations on the chart. In light of Walter’s testimony that the photograph was taken on May 12, 1974, these incremental variations become significant since one of the possible dates Ciupik arrived at in spite of the variations was April 13, 1974, plus or minus two to three days — a margin of error which could have been much greater.
The trial court should not be used as a testing ground for theories supported neither by prior control experiments nor by calculations with indicia of reliability. In United States v. Kilgus, 571 F.2d 508 (9th Cir. 1978), the court held that opinion testimony based on the “forward looking infrared system”, a technique used for generic identification of objects, was inadmissible because the technique was not yet generally accepted for unique identification of remote objects, and the testimony failed to show that barometric pressures, temperature, humidity, and other critical atmospheric conditions had been held constant. We accordingly endorse the conclusion of the Sixth Circuit in United States v. Brown, 557 F.2d at 556 that:
A courtroom is not a research laboratory. The fate of a defendant in a criminal prosecution should not hang on his ability to successfully rebut scientific evidence which bears an “aura of special reliability and trustworthiness,” although, in reality the witness is testifying on the basis of an unproved hypothesis in an isolated experiment which has yet to gain general acceptance in its field.
Having rejected the expert’s testimony, the critical inquiry remains whether the testimony of the neighbors and of the Burger King and drug store employees is sufficient to support a conviction beyond a reasonable doubt. Upon this evidence we do not believe that “any rational trier of fact could have found the essential elements of the crime beyond a reasonable doubt.” Jackson v. Virginia, 443 U.S. 307, 99 S.Ct. 2781, 2789, 61 L.Ed.2d 560 (1979). “Guilt in a criminal case must be proved beyond a reasonable doubt and by evidence confined to that which long experience in the common-law tradition, to some extent embodied in the Constitution, has crystallized into rules of evidence consistent with that standard.” Brinegar v. United States, 338 U.S. 160, 174, 69 S.Ct. 1302, 1310, 93 L.Ed. 1879 (1949); In re Winship, 397 U.S. 358, 90 S.Ct. 1068, 25 L.Ed.2d 368 (1970). Consequently, we need not reach appellant’s further contention that the trial court was prejudiced by exposure to Walter Tranowski’s prior arrest and conviction record. The judgment of conviction must be and hereby is Reversed.
[758]*758APPENDIX A
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[759]*759APPENDIX B