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Assignment on Calculating Orbital Period

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Assignment from Orbital Mechanics masters course that involves calculating the orbital period of several different celestial bodies. Answers included

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For each of the solar system objects calculate its orbital period, P, in years, days, minutes and seconds.

Also, determine the percentage difference between the Seller's and HORIZON's values for each of the objects and the values you determined.
JJS values1 JJS values1 % diff.

Object a (AU) P (years) P (days) P (hours) P (minutes) P (seconds) P (years) JJS vs. calc.

Earth 1 1 365.25 8766 525960 31557600 1 0

Mercury 0.387 0.24075008 87.9339682 2110.41524 126624.914 7597494.85 0.241 -0.10369954

Venus 0.723 0.61476261 224.542043 5389.00904 323340.543 19400432.6 0.615 -0.03859995

Mars 1.524 1.88138402 687.175513 16492.2123 989532.738 59371964.3 1.881 0.02041564

Jupiter 5.204 11.8715092 4336.06872 104065.649 6243938.96 374636337 11.862 0.08016487

Saturn 9.582 29.6608949 10833.6419 260007.405 15600444.3 936026656 29.458 0.68875988

Uranus 19.2 84.1301848 30728.55 737485.2 44249112 2654946721 84.014 0.13829223

Neptune 30.05 164.72773 60166.8035 1444003.28 86640197 5198411821 164.79 -0.03778731

Pluto 39.24 245.806576 89780.852 2154740.45 129284427 7757065617 247.7 -0.76440192



HORIZONS HORIZONS

values2 values2 % diff.

Object a (AU) P (years) P (days) P (hours) P (minutes) P (seconds) P (years) JJS vs. calc.

1P/Halley 17.834 75.3135542 27508.2757 660198.616 39611917 2376715019 75.316 -0.00324735

2P/Encke 2.215 3.29655705 1204.06746 28897.6191 1733857.15 104031429 3.297 -0.01343498

3545 Gaffey 2.868 4.8570069 1774.02177 42576.5225 2554591.35 153275481 4.857 0.00014207

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