an elliptical orbit and eccentricity 1/3 travels around a planet located at one of the ellipse's foci. It is known that the radius of this planet is 4,900 km. Neglecting the size of the satellite, calculate the greatest distance (in kilometers) from the satellite to the surface of the planet, knowing that the shortest distance is 300 km

Q: Sketch the earth and mars and in your sketch, show the center of the planets being separated by a…

A:

Q: A circle is a special ellipse: one with the foci at one point. The eccentricity of a circle is 0.…

A: Required : Estimated value of eccentricity.

Q: Would you recommend launching the new station from Earth into an orbit that circles eastwards or…

A: The rotation of earth is from west to east with a constant speed. If we launch a station into earth…

Q: . Briefly explain what a geosynchronous orbit is.

A: A geosynchronous orbit is the orbit of satellite around earth on which the period of the satellite…

Q: Consider a spacecraft on a hyperbolic trajectory that will fly by Mars. The trajectory's semi-major…

A: Given:  Semi-major axis = a = -11,000 km = -11×106 m Eccentricity = e = 1.8

Q: Suppose we discovered a planetary body orbiting our Sun at a distance of 15 times the Earth-Sun…

A: Let distance of earth from sun = D  Time taken by earth to complete one orbit around sun = 1 year…

Q: What is the acceleration due to gravity in m/s/s at an elevation of 1910 km above sea level of a…

A: Considering, mass as 3.2 x 1024, the acceleration is calculated below:

Q: Suppose humans are successful in living on the moon. They would need GPS just like on Earth to be…

A:

Q: At what point in its elliptical orbit about the Sun is the acceleration of Earth toward the Sun at a…

A: Answer The radial acceleration is maximum when earth is at perihelion (nearest to sun) The radial…

Q: similate and Apply Арogee YPerigee 1. As a spacecraft orbits the earth, it is said to be at its…

A: We are given the graph, various time and distance can be easily founded from it, of the journey.

Q: Imagine you are an astronaut in a circular orbit around the Earth. Let's say you have a mass of 100…

A:

Q: Explain circular satellite orbits?

A: The circular satellite orbits are the orbits which are moving in the same direction as the Earth.…

Q: Suppose a planet lies at a distance of 3 AU from its star when it is at perihelion. Suppose also…

A: In this problem, to calculate orbital speed(v2) at aphelion , we will use the concept of angular…

Q: Like other objects in orbit around the Sun, the Roadster obeys Kepler's Laws. Given that the…

A: Average orbital radius  R=1.67 AU+0.99AU2=1.33 AU From Kepler's third law…

Q: he shape of Earth's orbit. Where is the Sun located withi

A: We know that the shape of the earth's orbit is an ellipse. Kepler's first law defines the shape of…

Q: The free-fall acceleration on the surface of a fictional planet is about 1/7 that on the surface of…

A: Ration of average densities of pp/pe = 1/4.26                          pp: pe = 1 : 4.26

Q: The dwarf planet Pluto has an elliptical orbit with a semi-major axis of 5.91×10^12 m and…

A:

Q: Far from any other planet (), two masses M, and M. are separated by a distance R, as shown in the…

A:

Q: What would your escape velocity be from a planet with a radius of 3.75 million meters and a mass of…

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Q: A satellite in circular orbit 1100 kilometers above Earth makes one complete revolution every 140…

A: The angular speed of Earth can be obtained as θ=1 rev140 min×2π radians1 rev=π radians70 min

Q: Imagine yourself as an astronaut in a circular orbit around the Earth. Let's say you and your suit…

A: Gravitational Force formula:

Q: A planet follows an elliptical orbit that brings it as close as 46 million km to a star and as far…

A: Given data *The initial velocity of the planet is v1 = 38 km/s *The distance of the planet far from…

Q: Assume the orbit to be circular and 330 km above the surface of the Moon, where the acceleration due…

A:

Q: Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed…

A: v1 =2.1 x 104 m/sd1 = 2.6 x 1011 = 26 x 1010d2 = 4 × 1010

Q: What is the angular velocity of an object that completes 1.5 circular orbits in half a minute?

A:

Q: Let's define the gravitational pull between Earth and the Sun as 1 Earth-pull. What is the pull that…

A: The gravitational pull between the Earth and Sun is

Q: Imagine yourself as an astronaut in a circular orbit around the Earth. Let's say you and your suit…

A: given , radial distance , R = 7000 Km G*M = 4 x 1014

Q: Satellite “X” is now rotating clockwise around the earth. At the point shown in the diagram the…

A: According to Newton's third law, every action has an equal and opposite reaction.

Q: law of planetary motion tells us about the constant variable in planetary orbits in line with the…

A: Keplers law of planetary motion tells us about the constant variable in planetary orbits in line…

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A:

Q: AVhot if NASA were to use a Hohmann transfer orbit for its mission to Jupiter's moon Europa? NASA…

A: For a Jupiter’s moon Europa mission using a Hohmann transfer, the spacecraft should be launched with…

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A: Since the star 51 Pegasi is similar to the Sun, we assume it has the same mass as that of sun.…

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A: The centrifugal action of a rotating body provides an acceleration towards outwards. An object…

Q: A satellite in circular orbit 1150 kilometers above Earth makes one complete revolution every 110…

A: Linear speed of satellite (V = S/T) V = 2π(R+h)/T = 2π(6378+1150)/110  Km/min  V = 429.78 Km/min

Q: An undiscovered planet, many lightyears from Earth, has one moon in a periodic orbit. This moon…

A:

Q: What is the orbital velocity of an Earth satellite 42,230 km from Earth's center? How long does it…

A: Gravitational force can be expressed as, F=Gmearthmsatr2

Q: Imagine you are an astronaut in a circular orbit around the Earth. Let's say you have a mass of 100…

A: NOTE: As per guidelines, I can solve 1st question. If you need help with other questions, kindly…

Q: The dwarf planet Pluto has an elliptical orbit with a semi-major axis of 5.91 * 1012 m and…

A: a=Semi major axis=5.91×1012 me=Eccentricity=0.249G=Gravitational constant=6.674×10−11 Nm2/kg2M=Mass…

Q: A satellite is in a circular orbit at an altitude of 1.5 earth radii, with an inclination of 90°.…

A: (given)                   Radius (RE) of earth = 6371 km…

Q: A satellite placed in a circular orbit at a radius of 1.5 earth radii (z ~ 3,185 km) has an orbital…

A: Given that: Radius of orbit: r=1.5Re=1.5×6370×106 mSatellite must be atleast 15° above horizontal to…

Q: A communications satellite with a 24-hour period hovers over a fixed point on Earth and, to Earth…

A: The rotational velocity of the Earth is maximum at the equator.

Q: Discuss the relationship between the spherical coordinate angles φ and θ and the longitude and…

A:

Q: AVHRR/3 is a multispectral sensor onboard NOAA-15, a sun- synchronous platform that has an orbital…

A: Orbital period=102.12min Width=2900km Circumference of the equator=40000km

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.