Table A.1 Astronomical data for the sun, the planets, and the moonSemimajoraxis of orbit | OrbitSiderealInclination ofInclination ofOrbitRadiusrotationequator toorbit planeorbit to thesiderealObject(km)Mass (kg)period(km)eccentricity ecliptic planeperiod1.989 x 1030330.2 x 1021 | 58.65dSun696,00025.38d7.25°Mercury24400.01°57.91 x 10°0.20567.00°87.97d108.2 x 10°| 0.0067149.6 x 10°Venus60524.869 x 1024243d"177.4°3.39°224.7dEarth63785.974 x 102423.9345h23.45°0.01670.00°365.256d(Moon)173773.48 x 102127.32d6.68°384.4 x 1030.05495.145°27.322d641.9 × 102!1.899 x 1027 | 9.925h568.5 x 1024Mars339624.62h25.19°227.9 x 1060.09351.850°1.881y778.6 x 10°11.86y29.46yJupiter71,4903.13°0.04891.304°Saturn60,27010.66h26.73°1.433 x 10°0.05652.485°Uranus25,56086.83 x 102417.24h"97.77°2.872 x 10°0.04570.772°84.01y102.4 x 102413.03 x 10²'4.495 × 10°164.8yNeptune(Pluto)24,76416.11h28.32°0.01131.76911876.387d"122.5°5.906 x 10°0.248817.16°247.9y"Retrograde. 8.11 Estimate the total delta-v requirement for a Hohmann transfer from earth to Mercury, assuming a150-km-altitude circular parking orbit at earth and a 150-km circular capture orbit at Mercury.Furthermore, assume that the planets have coplanar circular orbits with radii equal to thesemimajor axes listed in Table A.1.{Ans.: 13.08 km/s}

Answered: Image /qna-images/answer/ff3870a8-4837-4e98-95b8-2695594ea570.jpg

Estimate the total delta-v requirement for a Hohmann transfer from earth to Mercury, assuming a 150-km-altitude circular parking orbit at earth and a 150-km circular capture orbit at Mercury. Furthermore, assume that the planets have coplanar circular orbits with radii equal to the semimajor axes listed in Table A.1. {Ans.: 13.08 km/s}

Estimate the total delta-v requirement for a Hohmann transfer from earth to Mercury, assuming a 150-km-altitude circular parking orbit at earth and a 150-km circular capture orbit at Mercury. Furthermore, assume that the planets have coplanar circular orbits with radii equal to the semimajor axes listed in Table A.1. {Ans.: 13.08 km/s}

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Question

Table A.1 Astronomical data for the sun, the planets, and the moon
Semimajor
axis of orbit | Orbit
Sidereal
Inclination of
Inclination of
Orbit
Radius
rotation
equator to
orbit plane
orbit to the
sidereal
Object
(km)
Mass (kg)
period
(km)
eccentricity ecliptic plane
period
1.989 x 1030
330.2 x 1021 | 58.65d
Sun
696,000
25.38d
7.25°
Mercury
2440
0.01°
57.91 x 10°
0.2056
7.00°
87.97d
108.2 x 10°| 0.0067
149.6 x 10°
Venus
6052
4.869 x 1024
243d"
177.4°
3.39°
224.7d
Earth
6378
5.974 x 1024
23.9345h
23.45°
0.0167
0.00°
365.256d
(Moon)
1737
73.48 x 1021
27.32d
6.68°
384.4 x 103
0.0549
5.145°
27.322d
641.9 × 102!
1.899 x 1027 | 9.925h
568.5 x 1024
Mars
3396
24.62h
25.19°
227.9 x 106
0.0935
1.850°
1.881y
778.6 x 10°
11.86y
29.46y
Jupiter
71,490
3.13°
0.0489
1.304°
Saturn
60,270
10.66h
26.73°
1.433 x 10°
0.0565
2.485°
Uranus
25,560
86.83 x 1024
17.24h"
97.77°
2.872 x 10°
0.0457
0.772°
84.01y
102.4 x 1024
13.03 x 10²'
4.495 × 10°
164.8y
Neptune
(Pluto)
24,764
16.11h
28.32°
0.0113
1.769
1187
6.387d"
122.5°
5.906 x 10°
0.2488
17.16°
247.9y
"Retrograde.

8.11 Estimate the total delta-v requirement for a Hohmann transfer from earth to Mercury, assuming a
150-km-altitude circular parking orbit at earth and a 150-km circular capture orbit at Mercury.
Furthermore, assume that the planets have coplanar circular orbits with radii equal to the
semimajor axes listed in Table A.1.
{Ans.: 13.08 km/s}

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