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Answer: No. Tidal tension on a 10m tether would not even keep the tether taut.

Tidal force (due to the difference in orbital radius) creates tension on a long tether.

https://en.wikipedia.org/wiki/Space_tether#/media/File:Fig11_Gravitational_Gradient.PNG

Tension on the tether is the difference in gravitational attraction due to difference in orbital altitude. See http://www.physicsbootcamp.org/gravity-Tidal-Forces.html to plug in values for your model. The tension will be proportional to the product of the masses and approximately proportional to the tether length. See p104 https://ntrs.nasa.gov/api/citations/19920010006/downloads/19920010006.pdf

A 10 m tether would be inadequate to provide stability. In 1966 Gemini 11 released the Agena target vehicle on a 30m tether, but this length was insufficient to keep the tether taut.

The TSS-1R mission managed to deploy 19.7km of tether before the tether broke. The tension was 65N at tether failure.

https://en.wikipedia.org/wiki/Gravity-gradient_stabilization#:~:text=Gravity%2Dgradient%20stabilization%20or%20tidal,body%20and%20the%20gravitational%20field

Answer: No. Tidal tension on a 10m tether would not even keep the tether taut.

Tidal force (due to the difference in orbital radius) creates tension on a long tether.

https://en.wikipedia.org/wiki/Space_tether#/media/File:Fig11_Gravitational_Gradient.PNG

Tension on the tether is the difference in gravitational attraction due to difference in orbital altitude. See http://www.physicsbootcamp.org/gravity-Tidal-Forces.html to plug in values for your model. The tension will be proportional to the masses and proportional to the mass's distance from the common center of gravity. See p104 https://ntrs.nasa.gov/api/citations/19920010006/downloads/19920010006.pdf

A 10 m tether would be inadequate to provide stability. In 1966 Gemini 11 released the Agena target vehicle on a 30m tether, but this length was insufficient to even keep the tether taut.

The TSS-1R mission managed to deploy 19.7km of tether before the tether broke. The tension was 65N at tether failure.

https://en.wikipedia.org/wiki/Gravity-gradient_stabilization#:~:text=Gravity%2Dgradient%20stabilization%20or%20tidal,body%20and%20the%20gravitational%20field

Answer: No. Tidal tension on a 10m tether would not even keep the tether taut.

Tidal force (due to the difference in orbital radius) creates tension on a long tether.

https://en.wikipedia.org/wiki/Space_tether#/media/File:Fig11_Gravitational_Gradient.PNG

Tension would be the difference in gravitation attraction due to difference in orbital altitude. See http://www.physicsbootcamp.org/gravity-Tidal-Forces.html to plug in values for your model.

A 10 m tether would be inadequate to provide stability. In 1966 Gemini 11 released the Agena target vehicle on a 30m tether, but this length was insufficient to keep the tether taut.

The TSS-1R mission managed to deploy 19.7km of tether before the tether broke. The tension was 65N at tether failure.

https://en.wikipedia.org/wiki/Gravity-gradient_stabilization#:~:text=Gravity%2Dgradient%20stabilization%20or%20tidal,body%20and%20the%20gravitational%20field

Answer: No. Tidal tension on a 10m tether would not even keep the tether taut.

Tidal force (due to the difference in orbital radius) creates tension on a long tether.

https://en.wikipedia.org/wiki/Space_tether#/media/File:Fig11_Gravitational_Gradient.PNG

Tension on the tether is the difference in gravitational attraction due to difference in orbital altitude. See http://www.physicsbootcamp.org/gravity-Tidal-Forces.html to plug in values for your model. The tension will be proportional to the product of the masses and approximately proportional to the tether length. See p104 https://ntrs.nasa.gov/api/citations/19920010006/downloads/19920010006.pdf

A 10 m tether would be inadequate to provide stability. In 1966 Gemini 11 released the Agena target vehicle on a 30m tether, but this length was insufficient to keep the tether taut.

The TSS-1R mission managed to deploy 19.7km of tether before the tether broke. The tension was 65N at tether failure.

https://en.wikipedia.org/wiki/Gravity-gradient_stabilization#:~:text=Gravity%2Dgradient%20stabilization%20or%20tidal,body%20and%20the%20gravitational%20field

Answer: No. Tidal tension on a 10m tether would even keep the tether taut.

Tidal force (due to the difference in orbital radius) creates tension on a long tether.

https://en.wikipedia.org/wiki/Space_tether#/media/File:Fig11_Gravitational_Gradient.PNG

Tension would be the difference in gravitation attraction due to difference in orbital altitude. See http://www.physicsbootcamp.org/gravity-Tidal-Forces.html to plug in values for your model.

A 10 m tether would be inadequate to provide stability. In 1966 Gemini 11 released the Agena target vehicle on a 30m tether, but this length was insufficient to keep the tether taut.

The TSS-1R mission managed to deploy 19.7km of tether before the tether broke. The tension was 65N at tether failure.

https://en.wikipedia.org/wiki/Gravity-gradient_stabilization#:~:text=Gravity%2Dgradient%20stabilization%20or%20tidal,body%20and%20the%20gravitational%20field

Answer: No. Tidal tension on a 10m tether would not even keep the tether taut.

Tidal force (due to the difference in orbital radius) creates tension on a long tether.

https://en.wikipedia.org/wiki/Space_tether#/media/File:Fig11_Gravitational_Gradient.PNG

Tension would be the difference in gravitation attraction due to difference in orbital altitude. See http://www.physicsbootcamp.org/gravity-Tidal-Forces.html to plug in values for your model.

A 10 m tether would be inadequate to provide stability. In 1966 Gemini 11 released the Agena target vehicle on a 30m tether, but this length was insufficient to keep the tether taut.

The TSS-1R mission managed to deploy 19.7km of tether before the tether broke. The tension was 65N at tether failure.

https://en.wikipedia.org/wiki/Gravity-gradient_stabilization#:~:text=Gravity%2Dgradient%20stabilization%20or%20tidal,body%20and%20the%20gravitational%20field