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However, it is useful to investigate the radius of the "best" (ie, lowest Av) circular parking orbit. For this problem consider the following "steps" to Escape Earth: 1. A Hohmann transfer from the surface to the parking orbit (i.e., 2 Av's). Assumptions: a. launch exactly from the equator with zero velocity relative to the ground b. there is no atmosphere, mountains, obstacles, etc - the Av can happen in the tangential direction from the ground c. Simplify for now and use the Earth rotation = 1 revolution in 24 hours 2. A Av from the parking orbit to escape Earth 3. The target velocity is exactly Vesc (i.e., there is no v. for a specific destination, we just want to escape Earth) For all Av's you can ignore the direction, only consider magnitude. b. What is the minimum Av required? (Answer: 10.716 km/s)

However, it is useful to investigate the radius of the "best" (ie, lowest Av) circular parking orbit. For this problem consider the following "steps" to Escape Earth: 1. A Hohmann transfer from the surface to the parking orbit (i.e., 2 Av's). Assumptions: a. launch exactly from the equator with zero velocity relative to the ground b. there is no atmosphere, mountains, obstacles, etc - the Av can happen in the tangential direction from the ground c. Simplify for now and use the Earth rotation = 1 revolution in 24 hours 2. A Av from the parking orbit to escape Earth 3. The target velocity is exactly Vesc (i.e., there is no v. for a specific destination, we just want to escape Earth) For all Av's you can ignore the direction, only consider magnitude. b. What is the minimum Av required? (Answer: 10.716 km/s)

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
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However, it is useful to investigate the radius of the "best" (ie, lowest Av) circular parking orbit. For this problem consider the following "steps" to Escape Earth: 1. A Hohmann transfer from the surface to the parking orbit (i.e., 2 Av's). Assumptions: a. launch exactly from the equator with zero velocity relative to the ground b. there is no atmosphere, mountains, obstacles, etc - the Av can happen in the tangential direction from the ground c. Simplify for now and use the Earth rotation = 1 revolution in 24 hours 2. A Av from the parking orbit to escape Earth 3. The target velocity is exactly Vesc (i.e., there is no v. for a specific destination, we just want to escape Earth) For all Av's you can ignore the direction, only consider magnitude.
Transcribed Image Text:However, it is useful to investigate the radius of the "best" (ie, lowest Av) circular parking orbit. For this problem consider the following "steps" to Escape Earth: 1. A Hohmann transfer from the surface to the parking orbit (i.e., 2 Av's). Assumptions: a. launch exactly from the equator with zero velocity relative to the ground b. there is no atmosphere, mountains, obstacles, etc - the Av can happen in the tangential direction from the ground c. Simplify for now and use the Earth rotation = 1 revolution in 24 hours 2. A Av from the parking orbit to escape Earth 3. The target velocity is exactly Vesc (i.e., there is no v. for a specific destination, we just want to escape Earth) For all Av's you can ignore the direction, only consider magnitude.
b. What is the minimum Av required? (Answer: 10.716 km/s)
Transcribed Image Text:b. What is the minimum Av required? (Answer: 10.716 km/s)
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