Greek Camp L5 Trailing Sixty Degrees Position Checker

Angular-only trailing L5 screen relative to secondary, not libration family, orbital identity or dynamical stability.

Description

Greek Camp L5 Trailing Sixty Degrees Position Checker: return signed angular departure degrees, within caller angular tolerance.

A relative longitude can be compared with the nominal trailing triangular-point angle. Circular differences must wrap at a full revolution.

This tool returns signed angular departure degrees, within caller angular tolerance. Use the stated units and model convention when interpreting these fields.

When to use this tool

Use this tool when the supplied inputs match the specific operation described above and you need a repeatable result under its stated convention.

  • Check the supported input and output contract against an existing calculation or observation.
  • Use the complete example to confirm units, selector spelling and result interpretation.

How to use the tool and how it works

  1. Enter every field in the input table using the stated units and the exact supported selector spelling where applicable.
  2. Run the tool. Correct input errors before interpreting an output.
  3. Read the result fields below; use accompanying flags and the stated sign, boundary or model convention when interpreting a number.

Measure signed relative longitude from -60 degrees, wrap the difference to [-180,180), and compare its magnitude with the caller's angular tolerance.1

Input fieldMeaning and unitsAccepted input
signedRelativeLongitudeDegreesSigned relative longitude degrees. Degrees.Finite number; from -360 to 360 inclusive
callerAngularToleranceDegreesCaller angular tolerance degrees. Degrees.Finite number; from 0 to 180 inclusive
Output fieldInterpretation
resultObject containing the following named result fields.
result.signedAngularDepartureDegreesSigned angular departure degrees; use the stated units and sign convention.
result.withinCallerAngularToleranceWithin caller angular tolerance flag under the exact conditions described above.
json
{
  "input": {
    "signedRelativeLongitudeDegrees": -60,
    "callerAngularToleranceDegrees": 1
  },
  "output": {
    "result": {
      "signedAngularDepartureDegrees": 0,
      "withinCallerAngularTolerance": true
    }
  }
}

Limitations and assumptions

  • This is an angular-position test, not an orbit-stability calculation. Traditional camp names are not used to establish the geometry.
  • Every declared field is required and unexpected fields are rejected. Numeric inputs must be finite; input errors are distinct from a valid false result or an explicitly qualified output.
  • Extremely large inputs and nonfinite or excessively large outputs are rejected. List positions reported by the tool use zero-based indices unless stated otherwise.

Alternative or Complementary methods

Check the underlying observations, units and conventions independently before using the result in a larger workflow. The tools listed below address nearby tasks; compare their inputs and scope before substituting one for this operation.

References

  1. Tool behavior and example: Greek Camp L5 Trailing Sixty Degrees Position Checker — tool.io

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