Random Toy Planetary System Generator

Description

Generate ascending synthetic external orbits and equilibrium temperatures around explicit stellar parameters under simplified two-body and blackbody models.

A physical-model fixture draws inputs under explicit units and delegates a stated idealized calculation. Computed values follow that model; they are separate from measurements, calibration, and environmental effects omitted by the assumptions.

Generate ascending synthetic external orbits and equilibrium temperatures around explicit stellar parameters under simplified two-body and blackbody models.

When to use this tool

Use this generator to create reproducible toy planetary system cases from the supplied model or bank. Inspect the returned evidence before using cases in a test or exercise.

How to use the tool and how it works

Supply count, centralGravitationalParameter, stellarRadiusMeters, stellarTemperatureKelvin, orbitalPeriodSeconds, minimumPeriodGapSeconds, bondAlbedo, reradiationAreaFactor in the field shapes below. Set seed when you need an explicit replay.
Run the tool and correct any input error. For generated controls, distinguish a successful fixture containing an invalid case from failure to generate the fixture.
Read centralGravitationalParameter, stellarRadiusMeters, stellarTemperatureKelvin, reradiationAreaFactor, planets. Use the conventions below and keep answer-bearing fields separate when presenting an exercise.

Draw strictly increasing orbital periods while reserving the minimum remaining gap. Delegate two-body semimajor axes and require the whole period interval to orbit outside the supplied stellar radius. Draw Bond albedos and delegate blackbody equilibrium temperatures under the supplied reradiation factor.^[1]

Delegated operations used for this result: orbital semi major from period; exoplanet equilibrium temperature. Their calculation or parsing conventions apply to the corresponding result fields.^{[2, 3]}

Input field	Meaning and units	Accepted input
count	Requested count; the mechanics explain whether one draw expands into several returned records.	Required. Safe integer; minimum 1; maximum 32.
centralGravitationalParameter	Central Gravitational Parameter	Required. Finite number; strictly above 0.
stellarRadiusMeters	Stellar Radius Meters	Required. Finite number; strictly above 0.
stellarTemperatureKelvin	Stellar Temperature Kelvin	Required. Finite number; strictly above 0.
orbitalPeriodSeconds	Orbital Period Seconds	Required. Object; no unknown keys.
orbitalPeriodSeconds.minimum	Minimum	Required. Finite number; strictly above 0.
orbitalPeriodSeconds.maximum	Maximum	Required. Finite number; strictly above 0.
minimumPeriodGapSeconds	Minimum Period Gap Seconds	Required. Finite number; strictly above 0.
bondAlbedo	Bond Albedo	Required. Object; no unknown keys.
bondAlbedo.minimum	Minimum	Required. Finite number; minimum 0; maximum 1.
bondAlbedo.maximum	Maximum	Required. Finite number; minimum 0; maximum 1.
reradiationAreaFactor	Reradiation Area Factor	Required. Finite number; strictly above 0.
seed	Optional numeric seed; takes precedence over context randomness. Without either, use the fixed tool.io default seed.	Optional. Safe integer.

Output field	Interpretation	Returned shape
centralGravitationalParameter	Central Gravitational Parameter	Required. Finite number; strictly above 0.
stellarRadiusMeters	Stellar Radius Meters	Required. Finite number; strictly above 0.
stellarTemperatureKelvin	Stellar Temperature Kelvin	Required. Finite number; strictly above 0.
reradiationAreaFactor	Reradiation Area Factor	Required. Finite number; strictly above 0.
planets	Planets	Required. Array of Object; no unknown keys.; minimum items 1; maximum items 32.
planets[].id	Literal identifier used to match records, independently of their display labels.	Required. Safe integer; minimum 0; maximum 31.
planets[].orbitalPeriodSeconds	Orbital Period Seconds	Required. Finite number; strictly above 0.
planets[].semiMajorAxisMeters	Semi Major Axis Meters	Required. Finite number; strictly above 0.
planets[].bondAlbedo	Bond Albedo	Required. Finite number; minimum 0; maximum 1.
planets[].blackbodyEquilibriumKelvin	Blackbody Equilibrium Kelvin	Required. Finite number; minimum 0.
randomness	Replay metadata: source is seed or context; seed is the normalized 32-bit seed or null for a context source.	Required. Object; no unknown keys.
randomness.seed	Optional numeric replay seed; normalization and precedence are explained below.	Required. Safe integer. or Null.
randomness.source	Source	Required. Text; one of "context", "seed".

An explicit safe-integer seed takes precedence over injected context randomness and is normalized to an unsigned 32-bit integer. With no seed and no context source, replay uses the fixed tool.io default seed. A context source must return finite values from zero inclusive to one exclusive; its advancing state must be retained separately. randomness records the source and normalized seed, or null for context. These generators are not cryptographic random sources.

json

{
  "input": {
    "count": 1,
    "centralGravitationalParameter": 132712440018000000000,
    "stellarRadiusMeters": 695700000,
    "stellarTemperatureKelvin": 5772,
    "orbitalPeriodSeconds": {
      "minimum": 31557600,
      "maximum": 31557600
    },
    "minimumPeriodGapSeconds": 86400,
    "bondAlbedo": {
      "minimum": 0.3,
      "maximum": 0.3
    },
    "reradiationAreaFactor": 4,
    "seed": 42
  },
  "output": {
    "centralGravitationalParameter": 132712440018000000000,
    "stellarRadiusMeters": 695700000,
    "stellarTemperatureKelvin": 5772,
    "reradiationAreaFactor": 4,
    "planets": [
      {
        "id": 0,
        "orbitalPeriodSeconds": 31557600,
        "semiMajorAxisMeters": 149595987125.067,
        "bondAlbedo": 0.3,
        "blackbodyEquilibriumKelvin": 254.5873756930518
      }
    ],
    "randomness": {
      "seed": 42,
      "source": "seed"
    }
  }
}

Limitations and assumptions

Inputs use GM in m³/s², seconds, meters and kelvins; albedo and reradiation factor are dimensionless. This synthetic two-body/blackbody system excludes gravitational stability, atmospheres and a habitability assessment.
A replay requires the same complete input and implementation. Randomized construction does not guarantee uniform coverage of every feasible output; finite samples can repeat unless a distinct-selection rule is explicitly stated.
The field tables state structural bounds; cross-field constraints and bounded search or output budgets also apply. Unknown keys are rejected where the object contract disallows them. Input errors are distinct from null fields and deliberate invalid controls in a successful output.

Alternative or Complementary methods

For a supplied example, inspect the returned construction or delegated check directly. To evaluate a consumer, also test cases chosen for its own boundaries; a generated finite corpus does not establish exhaustive coverage.

References

Tool behavior and example: Random Toy Planetary System Generator — tool.io
Calculation or validation: astronomy/orbital-semi-major-from-period — tool.io
Calculation or validation: astronomy/exoplanet-equilibrium-temperature — tool.io

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