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Fig. 1.

Fig

L Matre del

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meridian to the other. But as the increase of the moon's R. A. in 12 hours is to 180°, so is the above difference of intervals, to the difference of longitude.

Example, on Nov. 30, 1792. 13h 12' 57.62" meridian transit of the moon's 2d limb.

at Greenwich,

by the clock, 13 13 29.08 meridian transit of a me

31.46 difference of R. A. at Greenwich.

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13 14 8.05 meridian transit of the

at York, moon's 2d limb

by the clock, 13 14 30.13 meridian transit of a me

The clocks being 22.08 dift. of R. A. at York supposed to be go

ing nearly sidereal 31,46 ditto at Greenwich.

time, no correction

is necessary. 9.38 increase of moon's right ascension between Greenwich and York by observation, which reduced into degrees gives 141". Now the increase of the moon's right ascension in twelve hours was, 23340"; hence as 23340% to 180°, so is 141” to 1° 5 14", the difference of longitude between Greenwich and York

Those stars that are nearest in right ascension and declination to the moon, are best suited for this purpose.

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Equinor, at the Midnight, wie
Table of the Elliptic Motions of the Planets, as given by La Place in his Sy Neme

du Monde, Troisicme Edition, 1808.
Durations of their Sidereal Revolu Mean Longitude of the Perihelion, at
tion.

the same Epoch, 1801.
Years Day's Hours

Mercury

74° 21' 46 9 Mercury..0 87 23 15 43 394

Venus

128 37 09 Venus .. 0 224 16 49 11 192

Earth

99 30 5 Earth....1 0 6 9 11 527

Mars...

352 24 23 8 Mars ....1 321 28 30 39 047

Jupiter..

11 8 95 O Jupiter 11 317 14 18 40 976

Saturn

89 8 57 8 Saturn..29 173 25 16 34 176

Georgium Sidus,,...167 21 41 9

6 16 174 The Secular Sidereal motion of the Sidus s

Perihelion. Semi Major Axes of their Orbits, or their Mean Distances.

Mercury

+0° 9' 43" 5 Venus

4 27 8
Mercury

0 3870981
Earth

+0 19 398
Venus..

0.7233323

Mars Earth 10000000

+0 26 22 4

Jupiter
Mars....

3 8
1.5236935

,. +0 11

Saturn......
Jupiter.
5.2027911

+0 32 17 0
Georgium Sidus....
9.5387705

0 3 59 s
Saturn..
Georgium Sidus........

19.1833050

Inclination of their Orbits to the

Ecliptic.
Proportion of the Eccentricity of the

Secular Variation,

Mercury. .70 0' 9''.. +18" %
Semi Major Axes.

Venus... 3 23 33

Secu'nr Variation,
Mercury .0.20551494+0.020003867

Earth

0 0 0 00 Venus .0.00685298-0000062711

Mars

1 51 3 015
Earth...
...0.016853180.0000416,2

Jupiter

1 18 51 -22 61 Mars.....0.09313400+ 0 000090176

Saturn... 2 29 58

..-15 51 Jupiter ..0·04817840+0.000159350 Georgium Sidus 0 46 26 ..+ 3 13 Saturn...0·05616830_0.000312402

Mean Longitude of their ascending
0.04667030-0-000025072 Nodes on the Ecliptic, same Epoch.
Sidus

Secula · Variation,
Their mean Longitudes from the Vernal || Mercnry 458 57' 31"_0° 13' 2"

Venus.. 74 52 99 -0 31 10
separates the 31st December, 1800, Earth 0 0 0...0 0 0
and the 1st January, 1801, meun Mars ..48 1 28 0 38 48
time at Paris,

Spiter.. 98 25 34

-0 26 17
Mercury... 163° 56' 26" 96

Saturn, .111 55 46 -O 37 46
Venus
10 44 95 97

Georg.

72 51 14 - 59 58 Earth

9 12 99 Mars....

64 7 2 29 N. B. All these are for the Epoch
Jupiter... 112 12 36 10 of midnight, which separates the 31st
Saturn....... 135 20 31 52

December 1800, and the 1st January
Georgium Sidus.,377 47 17 50 1801, mean time at Paris.

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