Determine the angle at which a particle in Jupiter's circular orbit experiences an attraction from Jupiter that is 1.29 times the attraction from the sun. Use Table D/2 of Appendix D as needed. Sun Answer: 0 = i Jupiter

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Table D/2 Solar System Constants
Universal gravitational constantG=6.673(10-11) m3/(kg-s2)=3.439(10-8) ft4/(lb-sec4)Mass of Earthme=5.976(1024) kg=4.095(1023) lb-sec2/ftPeriod of Earth's rotation (1 sidereal day)=23 h 56 min 4 s=23.9344 hAngular velocity of
Earthw=0.7292(10-4) rad/sMean angular velocity of Earth-Sun linew'=0.1991(10-6) rad/sMean velocity of Earth's center about Sun=107 200 km/h-66,610 mi/hr
Surface Gravitational Acceleration m/s²
Body
Sun
Moon
Mercury
Venus
Earth
Mars
Jupiter4
Mean Distance to Sun km Eccentricity of Orbit Period of Orbit solar
(mi)
days
384 398¹
(238 854) ¹
0.055
27.32
0.206
87.97
0.0068
224.70
DI
0.0167
365.26
0.093
686.98
4333
57.3 × 106
(35.6 x 106)
108 x 106
(67.2 × 106)
149.6 × 106
(92.96 × 106)
227.9 x 106
(141.6 × 106)
778 x 106
e
(483 × 106)
Mean Diameter km
(mi)
1392 000
0.0489
(865 000)
3 476
(2 160)
5 000
(3 100)
12 400
(7 700)
12 742²
(7 918)²
6 788
Mass Relative to
Earth
(4 218)
333 000
0.0123
0.054
0.815
1.000
0.107
317.8
(ft/sec²)
274
(898)
1.62
(5.32)
3.47
(11.4)
8.44
(27.7)
9.8213
(32.22)3
3.73
(12.3)
24.79
139 822
(86 884)
1 Mean distance to Earth (center-to-center)
2 Diameter of sphere of equal volume, based on a spheroidal Earth with a polar diameter of 12 714 km (7900 mi) and an equatorial diameter of 12 756 km (7926 mi)
3 For nonrotating spherical Earth, equivalent to absolute value at sea level and latitude 37.5°
4 Note that Jupiter is not a solid body.
(81.3)
Escape Velocity km/s
(mi/sec)
616
(383)
2.37
(1.47)
4.17
(2.59)
10.24
(6.36)
11.18
(6.95)
5.03
(3.13)
59.5
(36.8)
Transcribed Image Text:Table D/2 Solar System Constants Universal gravitational constantG=6.673(10-11) m3/(kg-s2)=3.439(10-8) ft4/(lb-sec4)Mass of Earthme=5.976(1024) kg=4.095(1023) lb-sec2/ftPeriod of Earth's rotation (1 sidereal day)=23 h 56 min 4 s=23.9344 hAngular velocity of Earthw=0.7292(10-4) rad/sMean angular velocity of Earth-Sun linew'=0.1991(10-6) rad/sMean velocity of Earth's center about Sun=107 200 km/h-66,610 mi/hr Surface Gravitational Acceleration m/s² Body Sun Moon Mercury Venus Earth Mars Jupiter4 Mean Distance to Sun km Eccentricity of Orbit Period of Orbit solar (mi) days 384 398¹ (238 854) ¹ 0.055 27.32 0.206 87.97 0.0068 224.70 DI 0.0167 365.26 0.093 686.98 4333 57.3 × 106 (35.6 x 106) 108 x 106 (67.2 × 106) 149.6 × 106 (92.96 × 106) 227.9 x 106 (141.6 × 106) 778 x 106 e (483 × 106) Mean Diameter km (mi) 1392 000 0.0489 (865 000) 3 476 (2 160) 5 000 (3 100) 12 400 (7 700) 12 742² (7 918)² 6 788 Mass Relative to Earth (4 218) 333 000 0.0123 0.054 0.815 1.000 0.107 317.8 (ft/sec²) 274 (898) 1.62 (5.32) 3.47 (11.4) 8.44 (27.7) 9.8213 (32.22)3 3.73 (12.3) 24.79 139 822 (86 884) 1 Mean distance to Earth (center-to-center) 2 Diameter of sphere of equal volume, based on a spheroidal Earth with a polar diameter of 12 714 km (7900 mi) and an equatorial diameter of 12 756 km (7926 mi) 3 For nonrotating spherical Earth, equivalent to absolute value at sea level and latitude 37.5° 4 Note that Jupiter is not a solid body. (81.3) Escape Velocity km/s (mi/sec) 616 (383) 2.37 (1.47) 4.17 (2.59) 10.24 (6.36) 11.18 (6.95) 5.03 (3.13) 59.5 (36.8)
Determine the angle at which a particle in Jupiter's circular orbit experiences an attraction from Jupiter that is 1.29 times the
attraction from the sun. Use Table D/2 of Appendix D as needed.
Sun
Answer: 0 = i
Jupiter
Transcribed Image Text:Determine the angle at which a particle in Jupiter's circular orbit experiences an attraction from Jupiter that is 1.29 times the attraction from the sun. Use Table D/2 of Appendix D as needed. Sun Answer: 0 = i Jupiter
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