TRANSIT

, in Astronomy, denotes the passage of any planet, just before or over another planet or star; or the passing of a star or planet over the meridian, or before an astronomical instrument.

Venus and Mercury, in their Transits over the sun, appear like dark specks.

Doctor Halley computed the times of a number of these visible Transits, for the last and present century, and published in the Philos. Trans. numb. 193. See also Abridg. vol. 1, pa. 427 &c. A Synopsis of these Transits is as follows, those of Mercury happening in the months of April and October, and those of Venus in May and November, both old-style; and if 11 days be added to the dates below, the sums will give the times for the new-style. First for Mercury, and then for Venus.

A Series of the Moments when Mercury is seen in Conjunction with the Sun, and within his Disc, with the Distances of the same Planet from the Sun's Centre.

In April, Old-Style.
Years.Times of Mercury'sDistances from the
Conjunction.the Sun's Centre.
d.h.min.
1615222138*720N
162825515*935S
166123452*427N
16742612291228S
17072412 6134N
1720261943*1521S
17402111431536N
1758241920*119S
1786221857*1243N
179926234*412S
|
In October, Old-Style.
Years.Times of Mercury'sDistances from the
Conjunction.Sun's Centre.
d.h.m.
1605228291248S
1618252 4*445S
1631271937*318N
16443013111121N
16512313201126S
166425654*323S
167728028**440N
16903018 2*1243N
1697231811*104S
171026114521S
172329519*62N
1730225281645S
1736302253**135N
17432423 2**842S
1756261636038S
1769291010724N
17762210191523S
November
17821344*1527N
October
178925353*720S

“Those Transits which have the mark *, are but partly visible at London; but those which are marked **, are totally visible.

“Now it is to be observed, that at the ascending node of Mercury in the month of October, the diameter of the sun takes up 32′ 34″, and therefore the greatest duration of a central Transit is 5h 29m. But in the month of April the diameter of the sun is 31′ 54″, whence by reason of the slower motion of the planet, there arises the greatest duration 8h 1m. Now if Mercury approaches obliquely, these durations become shorter on account of the distance from the centre of the sun. And that the calculation may be more perfect, I have added the following Tables, in which are exhibited the half durations of these eclipses, to every minute of the distance seen from the centre of the sun. These added to or subtracted from the moment of conjunction found by the foregoing Table, give the beginning and end of the whole phenomenon.”

April.October.
Distance inHalf dura-Distance inHalf dura-
Min.tion.Min.tion.
h.m.h.m.
04 0 1/20244 1/2
14 01244
2358 1/22243
33563241 1/2
43534239 1/2
5348 1/<*>5236 1/2
63436233
73367228 1/2
83288223
9318 1/29217
103 710210
11254112 1
1223812151
1321913139
1415514124
15121 1/2151 4
15 1/205615 1/2050
16030
Of the Visible Conjunction of Venus with the Sun.

“Though Venus is the most beautiful of all the stars, yet (says Dr. Halley) like the rest of her sex, she does not care to appear in sight without her borrowed ornaments, and her assumed splendor. For the confined laws of motion envy this spectacle to the mortals of a whole age, like the secular games of the Ancients; though it be far the most noble among all those that astronomy can pretend to shew. Now it shall be declared hereafter, that by this one observation alone, the distance of the sun from the earth may be determined with the greatest certainty which hitherto has been included within wide limits, because of the parallax which is otherwise insensible. But as to the periods, they cannot be described so accurately as those of Mercury, since Venus has been observed within the sun's disk but once since the beginning of the world, and that by our Horrox.” Dr. Halley then exhibits the principles of calculating these Transits, from whence he infers that,

“After 18 years Venus returns to the sun, taking away 2d 10h (52 1/2)m, from the moment of the foregoing Transit; and the planet proceeds in a path which is 24′ 41″ more to the south than the former.

“After 235 years adding 2d 10h 9m, Venus may again enter the sun, but in a more northern path by 11′ 33″. But if the foregoing year is bissextile, 3d 10h 9m must be added.

“After 243 years Venus may also pass the sun, only taking away 0h 43m from the time of the former; | but proceeds more southerly by 13′ 8″. Now if the foregoing year be bissextile, add 23h 17m.

“And in all these appulses of Venus to the sun, in the month of November, the angle of her path with the ecliptic is 9° 5′, and her horary motion within the sun is 4′ 7″. And since the semidiameter of the sun is 16′ 21″, the greatest duration of the Transit of the centre of Venus comes out 7h 56m.

“Then let the sun and Venus be in conjunction at the descending node in the month of May; and by the same numbers the same intervals may be computed. After 8 years let there be taken away 2d 6h 55′. And Venus will make her Transit in a more northern path by 19′ 58″.

“After 235 years add 2d 8h 18m, or if the foregoing year be bissextile 3d 8h 18m, and you will have Venus more to the South by 9′ 21″.

“Lastly, after 243 years add 0d 1h 23m, or if the foregoing year be bissextile 1d 1h 23m, and Venus will be found in conjunction with the sun, but in a more northerly path by 10′ 37″.

“In every Transit within the sun at this node, the angle of Venus's path with the ecliptic is 8° 28′, and her horary motion is 4′ 0″; and the semidiameter of the sun subtending 15′ 51″, the greatest duration of the central Transit comes out also 7h 56m, exactly the same as at the other node.

“As to the epochs, from that only ingress which Horrox observed, the sun being then just ready to set, it is concluded, that Venus was in conjunction with the sun at London in the year 1639, Nov. 24d 6h 37m, and that she declined towards the south 8′ 30″. But in the month of May no mortal has seen her as yet within the sun. But from my numbers, which I judge to be not very different from the heavens, it appears that Venus for the next time will enter the sun in 1761, May 25d 17h 55m, that being the middle of the eclipse, and then will be distant from his centre 4′ 15″, towards the south. Hence and from the foregoing revolutions all the phenomena of this kind will be easily exhibited for a whole millennium, as I have computed them in the following Table.

In November.
Years.Times of Con-Distance from the
junction.Sun's Centre.
d.h.m.
918202153612N
1161202110655S
139623720438N
16312617291611N
163924637830S
187426164633N
2109292571436N
211726163105S
In May.
Years.Times of Con-Distance from the
junction.Sun's Centre.
d.h.m.
1048241345350N
128323814531S
1291251591427N
15182516321452S
15262393756N
1761251755415S
1769231101543N
1996282131336S
2004251918622N

“As for the durations of these eclipses of Venus, they may be computed after the same manner as those of Mercury in respect of the centre. But since Venus's diameter is pretty large, and since the parallaxes also may bring a very notable difference as to time, a particular calculation must necessarily be made for every place.

“Now the diameter of Venus is so great, that while she adheres to the sun's limb almost 20 minutes of time will be elapsed, that is, when she applies directly to the sun. But when she is incident obliquely, she continues longer in the limb. Now that diameter, according to Horrox's observation, takes up 1′ 18″, when she is in conjunction with the sun at the ascending node, and 1′ 12″ at the other node.

“Now the chief use of these conjunctions is accurately to determine the sun's distance from the earth, or his parallax, which astronomers have in vain attempted to find by various other methods; for the minuteness of the angles required easily eludes the nicest instruments. But in observing the ingress of Venus into the sun, and her egress from the same, the space of time between the moments of the internal contacts, observed o a second of time, that is, to 1/15 of a second or 4‴ of an arch, may be obtained by the assistance of a moderate telescope and a pendulum clock, that is consistent with itself exactly for 6 or 8 hours. Now from two such observations rightly made in proper places, the distance of the sun within a 500th part may be certainly concluded, &c.” See Parallax.

Transit Instrument, in Astronomy, is a telescope fixed at right angles to a horizontal axis; this axis being so supported that the line of collimation may move in the plane of the meridian.

The axis, to the middle of which the telescope is fixed, should gradually taper toward its ends, and terminate in cylinders well turned and smoothed; and a proper weight or balance is put on the tube, so that it may stand at any elevation when the axis rests on the supporters. Two upright posts of wood or stone, firmly fixed at a proper distance, are to sustain the supporters to this instrument; these supporters are two thick brass | plates, having well smoothed angular notches in their upper ends to receive the cylindrical arms of the axis; each of the notched plates is contrived to be moveable by a screw, which slides them upon the surfaces of two other plates immoveably fixed to the two upright posts; one plate moving in a vertical direction, and the other horizontally, they adjust the telescope to the planes of the horizon and meridian; to the plane of the horizon, by a spirit level hung in a position parallel to the axis, and to the plane of the meridian in the following manner. Observe the times by the clock when a circumpolar star, seen through this instrument, Transits both above and below the pole; then if the times of describing the eastern and western parts of its circuit be equal, the telescope is then in the plane of the meridian; otherwise the notched plates must be gently moved till the time of the star's revolution is bisected by both the upper and lower Transits, taking care at the same time that the axis keeps its horizontal position.

When the telescope is thus adjusted, a mark must be set up, or made, at a considerable distance (the greater the better) in the horizontal direction of the intersection of the cross wires, and in a place where it can be illuminated in the night-time by a lanthorn near it, which mark, being on a fixed object, will serve at all times afterwards to examine the position of the telescope, by first adjusting the tranverse axis by the level.

To adjust a clock by the sun's Transit over the meridian, note the times by the clock, when the preceding and following edges of the sun's limb touch the cross wires: the difference between the middle time and 12 hours, shews how much the mean, or clock time, is faster and slower than the apparent or solar time, for that day; to which the equation of time being applied, it will shew the time of mean noon for that day, by which the clock may be adjusted.

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Entry taken from A Mathematical and Philosophical Dictionary, by Charles Hutton, 1796.

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TRACTRIX
TRAJECTORY
TRAMMELS
TRANSACTIONS
TRANSFORMATION
* TRANSIT
TRANSMISSION
TRANSMUTATION
TRANSOM
TRANSPARENCY
TRANSPOSITION