Lagrange L3 Opposite Side Distance Approximately 1 AU Note
Bounded L3 small-mass-ratio location note; 1 AU not universal and no equilibrium root solver.
Description
Lagrange L3 Opposite Side Distance Approximately 1 AU Note: look up a supported built-in reference entry.
The L3 point lies on the far side of the primary in the circular restricted three-body model. A small-mass-ratio approximation differs from solving its exact position.
This tool returns a built-in reference entry for an exact supported selector. The supported entries and their scope are part of the tool; no website or current external table is queried.
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.
Accept small-mass-ratio-cr3bp and return the built-in qualitative distance note.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| regime | Regime. | Exact value: "small-mass-ratio-cr3bp" |
| regime | Built-in entry |
|---|---|
| "small-mass-ratio-cr3bp" | L3 lies approximately opposite the secondary, near the primary-secondary separation from the primary; exact position depends on mass ratio. |
| Output field | Interpretation |
|---|---|
| result | Object containing the following named result fields. |
| result.reference | The stored entry for the exact selected key; its type may be text, a number or a list. |
{
"input": {
"regime": "small-mass-ratio-cr3bp"
},
"output": {
"result": {
"reference": "L3 lies approximately opposite the secondary, near the primary-secondary separation from the primary; exact position depends on mass ratio."
}
}
}Limitations and assumptions
- No mass ratio, root solving or dimensional distance conversion is performed.
- 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
- triangular lagrange linear stability
The triangular L4 and L5 points of the planar circular restricted three-body model have a linear stability condition depending on the smaller primary's share of the total mass.
- aerobraking geometric pass count
A constant fractional period reduction compounds over successive aerobraking passes.