Two exoplanets, A and B are found revolving around the same star. The period of planet A is 62 days, and that of planet UCF1.02 is 54.5 days. If the average distance of planet A to the sun is 2,374.3 km, what is the average distance of planet B to the sun in km? Please keep four digits after decimal points.

Q: If the mass of Jupiter is defined as 1 MJ = 1.90 ✕ 1027 kg, what is the mass of Saturn (5.68 ✕ 1026…

A: Given data' The mass of Jupiter is defined as, 1 MJ = 1.90 x 1027 kg. The mass of Saturn is given as…

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A: According to Kepler's 3 rd law of planetary motion the square of time period (T) is directly…

Q: The orbital radius of one exoplanet is 5.34 X 10^11 m, with a period of 1270 Earth days. What is the…

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A: The motion of the planet is uniform circular motion. Therefore, the force equation along radial…

Q: Two exoplanets, UCF1.01 and UCF1.02 are found revolving around the same star. The period of planet…

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Q: Calculate the length R of the semimajor axis of a planet whose period is 165 years.

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Q: Astronomers discover an exoplanet, a planet obriting a star other than the Sun, that has an orbital…

A: The expression for the Third Kepler’s Law,

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Q: Consider a hypothetical planet with a radius of 170 million meters and a mass of 1027 kg. What is…

A: Given: The radius of the planet is 170 million meters. The mass of the planet is 1027 kg.

Q: A planet with mass 8.07x1023 kg orbits a star with mass 1.18x1030 kg. The orbit is circular, and the…

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Q: What is the gravity of Mars, if the mass of the planet is 6.39x1023kg and the radius of the planet…

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Q: Use Kepler's third law, as modified by Newton, to calculate the mass of the Earth and Moon in units…

A: In this question we have to find the the mass of the Earth and Moon in units of Sun's mass. Please…

Q: An object of mass mm is launched from a planet of mass M and radius R.  Calculate this minimum…

A: Write the given data. M=5.38×1023 kgR=83.2×103 km=83.2×106 m

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A: The equation for the radius of the orbit is given by, r3=GMP24π2 Substituting the values in the…

Q: Calculate the period T of a planet whose orbit has a semimajor axis of 6.1 AU.

A: Semi-major axis  R = 6.1 AU According to Kepler third law, T2=R3T=R32

Q: According to Kepler's third law, if planet A takes 10 years to travel around its star at a distance…

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Q: Convert 9.021 x 1048 kg to Jupiter Masses (MJ). The mass of Jupiter is known as MJ = 1.898×1027 kg.…

A: Given mass M = 9.021 x 1048 kg also 1 MJ = 1.898×1027 kg.

Q: The orbital radius of one exoplanet is 5.34 X 1011 m, with a period of 1270 Earth days. What is the…

A: Given data: The orbital radius is R=5.34x1011 m. The period of exoplanet is T=1270 Earth days.

Q: Calculate the period T of a dwarf planet whose orbit has a semimajor axis of 400 AU.

A: It is given that,

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A: Given: The period of the moon is 0.498179 days. The radius of the orbit is 181300 km.

Q: A newly discovered planet orbits a star with the same mass as the Sun with a semi-major axis of…

A: (13) According to the Kepler’s third law, The distance between the Sun and planet at the…

Q: What would be the period of a (hypothetical) solar-system planet whose orbit has a semimajor axis of…

A: According to Kepler's third law the relation between time period and length of semi major axis is…

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A: The average distance from planet X to the star is  2.52 × 10^5 m

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Q: Apophis has an elliptical orbit about the Sun, with a perihelion distance of 0.746 AU and aphelion…

A: In the question it is given that  Apophis has an elliptical orbit about the Sun, with a perihelion…

Q: The mass of venus is 4.883x10^15 Tg and density of Venus is 5.256 g/cm^3. What is the radius of…

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Q: Mulchatna is an exoplanet orbiting star 12 Altair. If the planet’s orbital period is 4.25 days and…

A: Write the expression for Kepler’s third law. Here, T represents the orbital period, k represents…

Q: The angular diameter of a body was 0.35 degrees and at a distance of 160 million kilometers, then…

A: 9.8 x 10^5 km

Q: Europa orbits Jupiter with an average radius of 671,100 km and a period of 3.551 days. Based upon…

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Q: Planet X has 20 times the mass of the earth and four times the earth's radius. It orbits star Y at a…

A: The given values are,

Q: Calculate period T of a dwarf planet whose orbit has a semimajor axis of 812 AU

A: The semimajor axis R = 812 AU   Kepler third law                                  T = R32…

Q: SnowT is an exoplanet orbiting star 27 Kood. If the planet’s orbital period is 3.75 days and 27…

A: time period T2=kR3

Q: Suppose NASA wants a satellite to revolve around Earth 5 times a day. What should be the radius of…

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Q: The Magellan orbiter orbits Venus with a period of 3.26 hours. How far (in km) above the surface of…

A: Given: Mass of venus (M) = 4.87x1024 kg Radius of venus (R)= 6.05x103 km Time period of Magellan…

Q: If the Diameter of a planet is 12.9 km, Then what will be the volume of planet Km3?

A: Given: The diameter of the planet is 12.9 km. Introduction: The planet is assumed to be spherical in…

Q: The table below illustrates data on Kepler's 3rd Law for the first six planets. Jse it to estimate…

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Q: A certain exoplanet has a radius of 8.00x10³ kilometers and a mass of 6.4x1024 kg. A simple pendulum…

A: We know that the time period (T) of simple pendulum is given as mentioned below.

Q: Planet Dwovy circles its star at a distance of 8.75 × 109 km once every 325 Earth years.  The planet…

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Q: If G = 6.674 ⨉ 10 −11m3/kg/s2, the orbital period of Saturn’s moon Titan is 15.95 days, and the…

A: G = 6.674 x 10-11 m3/kg/s2 Orbital period of saturn, P = 15.95 days P=15.95 x 24 hours = 15.95 x 24…

Q: Planet A has a mass equal to 3.8 x 1012 kg and orbits around a star that is 2.5 x 1026 kg at a…

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Q: Calculate the length R of the semimajor axis of a planet whose period is 138 years.

A: It is given that,

Q: The table below illustrates data on Kepler's 3rd Law for the first six planets. Use it to estimate…

A: According to Kepler's third law, The ratio of square of time period to the cube of semimajor axis of…