Collinear Point Stability Saddle Classification Flag Checker
Bounded standard CR3BP collinear-equilibrium classification, not controlled spacecraft stability or full nonlinear trajectory analysis.
Description
Collinear Point Stability Saddle Classification Flag Checker: look up a supported built-in reference entry.
The collinear Lagrange points are equilibrium locations in a rotating restricted three-body model. An equilibrium's stability is distinct from whether a spacecraft can remain nearby with control.
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.
Select L1, L2 or L3 and return the built-in spatial CR3BP stability note.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| point | Point. | Exact value: "L1", "L2", "L3" |
| point | Built-in entry |
|---|---|
| "L1" | Linearly unstable saddle-center-center equilibrium in the standard spatial CR3BP. |
| "L2" | Linearly unstable saddle-center-center equilibrium in the standard spatial CR3BP. |
| "L3" | Linearly unstable saddle-center-center equilibrium in the standard spatial CR3BP. |
| 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": {
"point": "L1"
},
"output": {
"result": {
"reference": "Linearly unstable saddle-center-center equilibrium in the standard spatial CR3BP."
}
}
}Limitations and assumptions
- The tool does not calculate equilibrium coordinates, eigenvalues, station-keeping or mission safety.
- 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
- hierarchical triple stability screen
A hierarchical triple can be screened using an empirical ratio between outer and inner semimajor axes.
- Parabolic Trajectory Boundary e=1 Flag Checker
Exact numerical eccentricity conic branch under two-body assumptions; no tolerance-based boundary or observational orbit confidence.