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In the book Le Petit Prince by "French aristocrat, writer, poet, and pioneering aviator Antoine de Saint-Exupéry" the main character lives on an extremely tiny asteroid with the name B612. It is this "asteroid" that the B612 Foundation was named after, founded by retired astronaut and entrepreneur Dr. Ed Lu and Drs. Clark Chapman and Piet Hut.

What "escapes" this XKCD-based answer (pardon the pun) is that it is the $\frac{mass}{radius}$ ratio that is key to the escape velocity, not just the surface gravity.

$$v_{esc} = \sqrt{\left(\frac{2 GM}{r_0} \right)}$$

Question: Using numbers from my answer there, what would be the largest radius sphere (and corresponding average densitymass) that had Earth's surface gravity of about 9.8 m/s^2 that you could jump at escape velocity?

"Bonus points" for an approximate scale height of an atmopshere on the unusual theoretical body in your answer (not B612 of course)

Le Petit Prince

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In the book Le Petit Prince by "French aristocrat, writer, poet, and pioneering aviator Antoine de Saint-Exupéry" the main character lives on an extremely tiny asteroid with the name B612. It is this "asteroid" that the B612 Foundation was named after, founded by retired astronaut and entrepreneur Dr. Ed Lu and Drs. Clark Chapman and Piet Hut.

What "escapes" this XKCD-based answer (pardon the pun) is that it is the $\frac{mass}{radius}$ ratio that is key to the escape velocity, not just the surface gravity.

$$v_{esc} = \sqrt{\left(\frac{2 GM}{r_0} \right)}$$

Using numbers from my answer there, what would be the largest radius sphere (and corresponding average density) that had Earth's surface gravity of about 9.8 m/s^2 that you could jump at escape velocity?

"Bonus points" for an approximate scale height of an atmopshere on the unusual theoretical body in your answer (not B612 of course)

Le Petit Prince

Source

In the book Le Petit Prince by "French aristocrat, writer, poet, and pioneering aviator Antoine de Saint-Exupéry" the main character lives on an extremely tiny asteroid with the name B612. It is this "asteroid" that the B612 Foundation was named after, founded by retired astronaut and entrepreneur Dr. Ed Lu and Drs. Clark Chapman and Piet Hut.

What "escapes" this XKCD-based answer (pardon the pun) is that it is the $\frac{mass}{radius}$ ratio that is key to the escape velocity, not just the surface gravity.

$$v_{esc} = \sqrt{\left(\frac{2 GM}{r_0} \right)}$$

Question: Using numbers from my answer there, what would be the largest radius sphere (and corresponding mass) that had Earth's surface gravity of about 9.8 m/s^2 that you could jump at escape velocity?

"Bonus points" for an approximate scale height of an atmopshere on the unusual theoretical body in your answer (not B612 of course)

Le Petit Prince

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uhoh
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In the book Le Petit Prince by "French aristocrat, writer, poet, and pioneering aviator Antoine de Saint-Exupéry" the main character lives on an extremely tiny asteroid with the name B612. It is this "asteroid" that the B612 Foundation was named after, founded by retired astronaut and entrepreneur Dr. Ed Lu and Drs. Clark Chapman and Piet Hut.

What escapes"escapes" this XKCD-based answer (pardon the pun) is that it is the $\frac{mass}{radius}$ ratio that is key to the escape velocity, not just the surface gravity.

$$v_{esc} = \sqrt{\left(\frac{2 GM}{r_0} \right)}$$

Using numbers from my answer there, what would be the largest radius sphere (and corresponding average density) that had Earth's surface gravity of about 9.8 m/s^2 that you could jump at escape velocity?

"Bonus points" for an approximate scale height of an atmopshere on the unusual theoretical body in your answer (not B612 of course)

Le Petit Prince

Source

In the book Le Petit Prince by "French aristocrat, writer, poet, and pioneering aviator Antoine de Saint-Exupéry" the main character lives on an extremely tiny asteroid with the name B612. It is this "asteroid" that the B612 Foundation was named after, founded by retired astronaut and entrepreneur Dr. Ed Lu and Drs. Clark Chapman and Piet Hut.

What escapes this XKCD-based answer is that it is the $\frac{mass}{radius}$ ratio that is key to the escape velocity, not just the surface gravity.

$$v_{esc} = \sqrt{\left(\frac{2 GM}{r_0} \right)}$$

Using numbers from my answer there, what would be the largest radius sphere (and corresponding average density) that had Earth's surface gravity of about 9.8 m/s^2 that you could jump at escape velocity?

"Bonus points" for an approximate scale height of an atmopshere on the unusual theoretical body in your answer (not B612 of course)

Le Petit Prince

Source

In the book Le Petit Prince by "French aristocrat, writer, poet, and pioneering aviator Antoine de Saint-Exupéry" the main character lives on an extremely tiny asteroid with the name B612. It is this "asteroid" that the B612 Foundation was named after, founded by retired astronaut and entrepreneur Dr. Ed Lu and Drs. Clark Chapman and Piet Hut.

What "escapes" this XKCD-based answer (pardon the pun) is that it is the $\frac{mass}{radius}$ ratio that is key to the escape velocity, not just the surface gravity.

$$v_{esc} = \sqrt{\left(\frac{2 GM}{r_0} \right)}$$

Using numbers from my answer there, what would be the largest radius sphere (and corresponding average density) that had Earth's surface gravity of about 9.8 m/s^2 that you could jump at escape velocity?

"Bonus points" for an approximate scale height of an atmopshere on the unusual theoretical body in your answer (not B612 of course)

Le Petit Prince

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uhoh
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In the book Le Petit Prince by "French aristocrat, writer, poet, and pioneering aviator Antoine de Saint-Exupéry" the main character lives on an extremely tiny asteroid with the name B612. It is this "asteroid" that the B612 Foundation was named after, founded by retired astronaut and entrepreneur Dr. Ed Lu and Drs. Clark Chapman and Piet Hut.

What escapes this XKCD-based answer is that it is the $\frac{mass}{radius}$ ratio that is key to the escape velocity, not just the surface gravity.

$$v_{esc} = \sqrt{\left(\frac{2 GM}{r_0} \right)}$$

Using numbers from my answer there, what would be the largest radius sphere (and corresponding average density) that had Earth's surface gravity of about 9.8 m/s^2 that you *could jump at escape velocity?could jump at escape velocity?

"Bonus points" for an approximate scale height of an atmopshere on the unusual theoretical body in your answer (not B612 of course)

enter image description hereLe Petit Prince

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In the book Le Petit Prince by "French aristocrat, writer, poet, and pioneering aviator Antoine de Saint-Exupéry" the main character lives on an extremely tiny asteroid with the name B612. It is this "asteroid" that the B612 Foundation was named after, founded by retired astronaut and entrepreneur Dr. Ed Lu and Drs. Clark Chapman and Piet Hut.

What escapes this XKCD-based answer is that it is the $\frac{mass}{radius}$ ratio that is key to the escape velocity, not just the surface gravity.

$$v_{esc} = \sqrt{\left(\frac{2 GM}{r_0} \right)}$$

Using numbers from my answer there, what would be the largest radius sphere (and corresponding average density) that had Earth's surface gravity of about 9.8 m/s^2 that you *could jump at escape velocity?

enter image description here

Source

In the book Le Petit Prince by "French aristocrat, writer, poet, and pioneering aviator Antoine de Saint-Exupéry" the main character lives on an extremely tiny asteroid with the name B612. It is this "asteroid" that the B612 Foundation was named after, founded by retired astronaut and entrepreneur Dr. Ed Lu and Drs. Clark Chapman and Piet Hut.

What escapes this XKCD-based answer is that it is the $\frac{mass}{radius}$ ratio that is key to the escape velocity, not just the surface gravity.

$$v_{esc} = \sqrt{\left(\frac{2 GM}{r_0} \right)}$$

Using numbers from my answer there, what would be the largest radius sphere (and corresponding average density) that had Earth's surface gravity of about 9.8 m/s^2 that you could jump at escape velocity?

"Bonus points" for an approximate scale height of an atmopshere on the unusual theoretical body in your answer (not B612 of course)

Le Petit Prince

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uhoh
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