Computational Astrophysics · Interactive Learning Module
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This page uses the exact same architecture as the primary simulator (login, theory, formulas, simulation, data export, objectives, quiz, references) for course-wide uniformity. For the dedicated Unit 2: Radiation in Astrophysics topic engine, open: Blackbody Radiation Simulator Core Module.
Spectral radiance of an ideal blackbody is given by:
Here \(\lambda\) is wavelength, \(T\) is temperature, \(h\) Planck constant, \(c\) speed of light, and \(k\) Boltzmann constant.
The peak shifts to shorter wavelength as \(T\) increases.
Surface flux rises strongly with temperature (\(T^4\) scaling).
Observed flux decreases with distance squared.
Important in stellar interiors and high-energy environments.
Color indices map broad-band flux ratios to effective temperature trends.
Spectral line shift estimates radial velocity for \(|v| \ll c\).
Filters, detector response, and calibration modify measured spectra and should be modeled in analysis scripts.
Switch to the Simulation tab to explore the same relationships numerically under this unit topic.
Vary temperature from 2500 K to 10000 K and track peak migration from red/IR toward blue/UV.
Compare stars of identical radius while changing T to verify $L \propto T^4$.
Fix luminosity and vary distance to validate inverse-square dimming in observed flux.
Overlay shifted spectral lines to connect blackbody continuum with line-based velocity diagnostics.
CSV columns: sapid, student_name, temperature_K, lambda_max_nm, surface_flux_Wm2, luminosity_W, luminosity_Lsun, distance_pc, observed_flux_Wm2, emissivity, timestamp_iso. JSON includes full metadata and blackbody run data. The Python script uses matplotlib to reproduce a Wien shift trend plot from exported data.
| Temperature (K) | Peak \u03bb (nm) | Surface flux (W/m\u00b2) | Luminosity (L/L\u2609;) | Observed flux (W/m\u00b2) | Emissivity | Timestamp |
|---|---|---|---|---|---|---|
| No data yet — run the simulation with "Log data" checked. | ||||||
| Timestamp (ISO) | Name | SAPID |
|---|---|---|
| No login records yet. | ||
This interactive module targets Unit 2 of PHYS4022P. Students explore blackbody radiation, luminosity scaling, spectral diagnostics, and measurement principles using computational experiments.
References used to ensure scientific accuracy of this module. Open-access links are provided where available.