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How is orbital period calculated if perihelion and aphelion are known? For example, the orbit of a spacecraft about the sun has a perihelion distance of 0.5 AU and an aphelion of 3.5 AU., what is its orbital period?
The orbital period can be calculated using Kepler's 3rd law, which states that the square of the orbital period is proportional to the cube of the average distance from ....
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What is the orbital period of each of the planets? How is the orbital period found?
Observing their position on a star map and wait till they return to that position again. and counting days elapsed..
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What is keeping the Earth's degree of tilt in its orbit around the Sun and why doesn't the Earth wobble? When was the last time the Earth's degree of tilt changed?
The Earth's tilt axis , or obliquity, is changing continuously over a 41,000 year cycle. The angle of tilt varies between 22.1 and 24.5 degrees. It is currently at 23.44...
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Pluto's orbital semi-major axis is 39.48 times larger than that of Earth. According to Kepler's third law, how long is the period of its orbit around the Sun?
This is only an approximation to the period, using Kepler's third (empirical) law for approximating the period..
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The orbit of Pluto is elongated with an eccentricity of 0.25. What is the approximate ratio of Pluto's orbital speed at perihelion to its orbital speed at aphelion?
Use $v=sqrtmu((2/r)-(1/a))$, perihelion = $a(1-e)$ and aphelion $= a(1+e)$. Here e = 0.25, approximately. Now, for any planet, the ratio of the speeds at perihelion and aphelion becomes $sqrt((1+e)/(1-e))$ and...
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Io, a satellite of Jupiter, has an orbital period of 1.77 days and an orbital radius of $4.22 X 10^5$ km. From these data, how would you determine the mass of Jupiter?
It states that the orbital period, T is related to the distance, r as: $T^2 = (G.M)/(4pi)r^3$ where G is the universal gravitational constant (a very small number for reasons...
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Which planet has the longest day (rotational period)? How long does it take to complete an orbit of the Sun?
orbital period is 224.7 days. Date from Planetary fact Sheet NASA,
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An asteroid is three times as far from the Sun at aphelion than at perihelion. At perihelion the orbital speed of the asteroid is 25 km/s. What is the orbital speed of the asteroid at aphelion?
If a is the semi-major axis and e is the eccentricity of the orbit of the asteroid, Aphelion/perihelion = 3 = (a(1+e))/(a(1-e)) = (1+e)/(1-e). solving for e, e = $1/2$...
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The asteroid Icarus has a perihelion of 0.19 AU and an orbital eccentricity of 0.83. How do you calculate the asteroid's orbital semimajor axis and aphelion distance from the Sun?
$a$ - Semi-major distance; $\quad b$ - Semi-minor distance; $c$ - Centre-to-Focal Point distance; $\quad e$ - Eccentricity of the ellipse; $d_p$ - Perihelion distance; $\quad d_a $ - Aphelion...
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Two satellites are in circular orbits around the earth. The orbit for satellite A is at a height of 539 km above the earth's surface, while that for satellite B is at a height of 876 km. How do you find the orbital speed for satellite A and satellite B?
To do this problem, you need the $R = 6371 km$ For the satellite to be in a stable orbit at a height, h, its centripetal acceleration $V^2/(R + h)$...
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