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How far is moon from earth and moon from sun?

Updated: 10/19/2022
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Maryjane Konopelski

Lvl 10
4y ago

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1. Earth-Moon distance From Earth Center (EC) to Moon in km : Moon is a natural satellite of earth. For any satellite, to predict its instantaneous distance

from earth requires its ephemeris data which indicates the satellite's orbital parameters

known as Keplerian elements. The ephemeris data acquired on a particular day, called

epoch, is applied as input to satellite tracking software for accurate predictions of satellite

position in next few days. Thereafter a new set of Keplerian elements are acquired. The computed values of Distances from Earth Centre (EC) to Moon in km at Epoch (UT year

= 2014, month = 5, day = 23, hr = 3, min = 59, sec = 20.61457) and at four other specific

instances of Year = 2013 while Moon was at apogee, perigee and crossing over earth

equator at ascending & descending nodes were as follows : GMT Time (Y M D h m s) - - -Moon Position (instance) - - - - Earth-Moon Distance (km)

2014:05:23:03:59:20 - - - - - - Epoch - - - - - - - - - - - - - - - - - - - 368644.28

2014:06:02:18:36:48 - - - - - - Apogee - - - - - - - - - - - - - - - - - -402802.27

2014:06:06:10:09:59 - - - - - - Earth Equator - - - - - - - - - - - - - 396714.18

2014:06:16:10:28:23 - - - - - - Perigee - - - - - - - - - - - - - -- - - - -363564.67

2014:06:19:11:12:09 - - - - - - Earth Equator - - - - - - - - - - - - - 368681.22

2014:06:30:02:19:58 - - - - - - Apogee - - - - - - - - - - - - - - - - - - 402802.04

2014:07:03:17:53:08 - - - - - - Earth Equator - - - - - - - - - - - - - 396808.49

2014:07:13:18:11:34 - - - - - - Perigee - - - - - - - - - - - - - - - - - - 363565.04

2014:07:16:18:55:18 - - - - - - Earth Equator - - - - - - - - - - - - - 368586.79 It is clear as how much the distance of Moon from Earth Centre vary. Since epoch the

minimum distance was 363564.67 km and the maximum distance was 402802.27 km.

2. Earth-Sun distance From Earth Centre to Sun Centre (EC to ES) in km : Earth Revolves around Sun in a counter clockwise direction. The earth's orbit around the

sun is not a circle, it is slightly elliptical. Therefore, the distance between Earth and Sun

varies throughout the year. To predict Earth-Sun distance any instant of time, we must

know the position of Earth and Sun at same instant on Celestial Sphere. For computing the position of Earth on celestial sphere at any instant, we first need to

compute position of Sun on celestial sphere. That provides many inputs required to

compute position of Earth at same instant on celestial sphere. The computed values of Distances from Earth Centre (EC) to Sun Centre (SC) in km at

Standard Epoch JD2000 and at six other specific instances of Year = 2013 while Earth was

at Perihelion, Vernal equinox, Summer solstice, Aphelion, Autumnal equinox, Winter solstice

were as follows :

GMT Time (Y M D h m s) - - -Earth Position (instance) - - - Earth-Sun Distance (km)

2000:01:01:12:00:00 - - - - - - Standard Epoch - - - - - - - - - - 147101196.66164

2013:01:03:09:11:56 - - - - - - Perihelion - - - - - - - - - - - - - - -147098790.67105

2013:03:20:11:02:09 - - - - - - Vernal equinox - - - - - - - - - - -148990030.62423

2013:06:21:05:01:19 - - - - - - Summer solstice - - - - - - - - - -152030553.38444

2013:07:05:00:18:52 - - - - - - Aphelion - - - - - - - - - - - - - - - - 152098441.95238

2013:09:22:20:45:38 - - - - - - Autumnal equinox - - - - - - - - 150128324.53014

2013:12:21:17:10:03 - - - - - - Winter solstice - - - - - - - - - - - 147162430.96729

It is clear that the distance of Earth Centre (EC) from Sun Centre (SC) vary throughout the

year. In the Year 2013 minimum distance was 147098790.67105 km and maximum

distance was 152098441.95238 km. Note : All these values are computed using the Orbital Mechanics - Model & Simulation

Software OM-MSS.

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Alden Kling

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2y ago
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