Trojan L4 Leading Sixty Degrees Position Checker
Angular-only leading L4 screen relative to secondary, not libration family, orbital identity or dynamical stability.
Description
Trojan L4 Leading Sixty Degrees Position Checker: return signed angular departure degrees, within caller angular tolerance.
The leading triangular-point reference lies 60 degrees ahead under the tool's signed-longitude convention. Circular angle differences avoid a discontinuity at 360 degrees.
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
- Enter every field in the input table using the stated units and the exact supported selector spelling where applicable.
- Run the tool. Correct input errors before interpreting an output.
- 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 to [-180,180), and compare the absolute departure with the supplied tolerance.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| signedRelativeLongitudeDegrees | Signed relative longitude degrees. Degrees. | Finite number; from -360 to 360 inclusive |
| callerAngularToleranceDegrees | Caller angular tolerance degrees. Degrees. | Finite number; from 0 to 180 inclusive |
| Output field | Interpretation |
|---|---|
| result | Object containing the following named result fields. |
| result.signedAngularDepartureDegrees | Signed angular departure degrees; use the stated units and sign convention. |
| result.withinCallerAngularTolerance | Within caller angular tolerance flag under the exact conditions described above. |
{
"input": {
"signedRelativeLongitudeDegrees": 60,
"callerAngularToleranceDegrees": 1
},
"output": {
"result": {
"signedAngularDepartureDegrees": 0,
"withinCallerAngularTolerance": true
}
}
}Limitations and assumptions
- A nearby longitude does not establish a Trojan orbit, libration state or long-term stability.
- 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
Similar or alternative tools
- Greek Camp L5 Trailing Sixty Degrees Position Checker
Angular-only trailing L5 screen relative to secondary, not libration family, orbital identity or dynamical stability.
- aerobraking geometric pass count
A constant fractional period reduction compounds over successive aerobraking passes.