Release apparatuses with locking surfaces formed at contact angles and methods of manufacturing release apparatuses

1. A release apparatus, comprising:

a body comprising a first mating section and a second mating section with the first mating section being connected to a first tether and the second mating section being connected to a separate second tether so that separation of the first mating section from the second mating section separates the first and second tethers;

a plurality of movable locking shoes secured with the first mating section and movable between a first position configured to lock the first mating section and the second mating section together and a second position configured to allow the first mating section and the second mating section to disconnect;

wherein each of the plurality of locking shoes comprises a locking surface configured to contact an engagement surface of the second mating section and maintain a position of the first mating section with the second mating section when the plurality of locking shoes are in the first position, and wherein the locking surface of each of the plurality of locking shoes is formed at a contact angle between about 18 degrees and 24 degrees from a plane perpendicular to a longitudinal axis of the release apparatus;

wherein the plurality of locking shoes are arranged radially about the longitudinal axis;

wherein the plurality of locking shoes are configured to pivot such that the locking surface of each of the plurality of locking shoes pivots away from the longitudinal axis when pivoted into the locked position, and toward the longitudinal axis when pivoted into the release position; and

a lubricant between the locking surface of each of the plurality of locking shoes and the engagement surface achieving a coefficient of friction defined by a ratio of a force of friction between the locking surface and the engagement surface and a force pressing the locking surface and the engagement surface together that is less than 0.30.

2. The release apparatus of claim 1 , wherein the locking surfaces of each of the plurality of locking shoes is formed with the contact angle at about 21 degrees from the plane perpendicular to the longitudinal axis of the release apparatus when the plurality of locking shoes are in the locked position balancing forces to support the opposing forces on the first and second mating sections while allowing the plurality locking shoes to be moved in response to a threshold amount of pressure by a cam that causes movement of the locking shoes to disengage the locking surface from the engagement surface in response to a release command.

3. The release apparatus of claim 1 , wherein portions of the locking surface of each of the plurality of locking shoes comprise toric geometries that are not in contact with the engagement surface of the second mating section when the locking shoes are in the first position and do not come into contact with the engagement surface as the locking shoes transition from the first position to the second position.

4. A release apparatus, comprising:

a body comprising a first mating section and a second mating section with the first mating section being connected to a first tether and the second mating section being connected to a separate second tether so that separation of the first mating section from the second mating section separates the first and second tethers;

a plurality of movable locking shoes secured with the first mating section and movable between a first position configured to lock the first mating section and the second mating section together and a second position configured to allow the first mating section and the second mating section to disconnect;

wherein each of the plurality of locking shoes comprises a locking surface configured to contact an engagement surface of the second mating section and maintain a position of the first mating section with the second mating section when the plurality of locking shoes are in the first position, and wherein the locking surface of each of the plurality of locking shoes is formed at a contact angle between about 18 degrees and 24 degrees from a plane perpendicular to a longitudinal axis of the release apparatus;

wherein the plurality of locking shoes are arranged radially about the longitudinal axis;

wherein the plurality of locking shoes are configured to pivot such that the locking surface of each of the plurality of locking shoes pivots away from the longitudinal axis when pivoted into the locked position, and toward the longitudinal axis when pivoted into the release position; and

a lubricant between the locking surface of each of the plurality of locking shoes and the engagement surface; and

wherein the locking surfaces of each of the plurality of locking shoes is formed with the contact angle at about 21 degrees from the plane perpendicular to the longitudinal axis of the release apparatus when the locking shoes are in the locked position.

5. The release apparatus of claim 4 , further comprising:

wherein the locking surfaces of each of the plurality of locking shoes is formed with the contact angle at about 21 degrees balancing forces to support the opposing forces on the first and second mating sections while allowing the plurality locking shoes to be pivoted to disengage the locking surface from the engagement surface in response to a release command.

6. A release apparatus, comprising:

a body comprising a first mating section and a second mating section with the first mating section being connected to a first tether and the second mating section being connected to a separate second tether so that separation of the first mating section from the second mating section separates the first and second tethers;

a plurality of movable locking shoes secured with the first mating section and movable between a first position configured to lock the first mating section and the second mating section together and a second position configured to allow the first mating section and the second mating section to disconnect;

wherein each of the plurality of locking shoes comprises a locking surface configured to contact an engagement surface of the second mating section and maintain a position of the first mating section with the second mating section when the plurality of locking shoes are in the first position, and wherein the locking surface of each of the plurality of locking shoes is formed at a contact angle between about 18 degrees and 24 degrees from a plane perpendicular to a longitudinal axis of the release apparatus; and

a lubricant between the locking surface of each of the plurality of locking shoes and the engagement surface achieving a coefficient of friction defined by a ratio of a force of friction between the locking surface and the engagement surface and a force pressing the locking surface and the engagement surface together that is less than 0.30; and

wherein the locking surfaces of each of the plurality of locking shoes is formed with the contact angle at about 21 degrees from the plane perpendicular to the longitudinal axis of the release apparatus balancing forces to support the opposing forces on the first and second mating sections while allowing the plurality locking shoes to be moved in response to a threshold amount of pressure by a cam that causes movement of the locking shoes to disengage the locking surface from the engagement surface in response to a release command.

7. The release apparatus of claim 6 , wherein portions of the locking surface of each of the plurality of locking shoes comprise toric geometries that are not in contact with the engagement surface of the second mating section when the locking shoes are in the first position and do not come into contact with the engagement surface as the locking shoes transition from the first position to the second position.

8. A release apparatus, comprising:

a body comprising a first mating section and a second mating section with the first mating section being connected to a first tether and the second mating section being connected to a separate second tether so that separation of the first mating section from the second mating section separates the first and second tethers;

a plurality of movable locking shoes secured with the first mating section and movable between a first position configured to lock the first mating section and the second mating section together and a second position configured to allow the first mating section and the second mating section to disconnect;

wherein each of the plurality of locking shoes comprises a locking surface configured to contact an engagement surface of the second mating section and maintain a position of the first mating section with the second mating section when the plurality of locking shoes are in the first position, and wherein the locking surface of each of the plurality of locking shoes is formed at a contact angle between about 18 degrees and 24 degrees from a plane perpendicular to a longitudinal axis of the release apparatus;

a hydraulic cylinder comprising a piston configured to transition between a closed position to an open position allowing the plurality of locking shoes to transition to the second position; and

one or more locking valves coupled with the hydraulic cylinder and configured to maintain locking hydraulic fluid within the hydraulic cylinder to maintain a backside pressure within the hydraulic cylinder inhibiting movement of a piston within the hydraulic cylinder toward the open position when the first mating section and the second mating section are in a locked configuration with the first mating section releasably secured with the second mating section.

9. The apparatus of claim 8 , wherein the one or more locking valves are configured to transition to an open state in response to a release command allowing the locking hydraulic fluid to be released from the hydraulic cylinder and releasing the backside pressure.