ForHosting KIT · Developer Utilities

Chandrasekhar mass limit calculator

The Chandrasekhar mass is the maximum mass a non-rotating white dwarf can support against gravity through electron degeneracy pressure alone.

● BetaFree · in your browser

Run — free How it works & API

Use it from WebAPIEmailTelegramApp soon

Above that limit the star cannot stay in hydrostatic equilibrium as a white dwarf and will collapse toward a denser remnant or trigger a thermonuclear runaway, depending on composition and accretion history. This Chandrasekhar mass limit calculator implements the standard closed-form estimate used in astrophysics courses and order-of-magnitude work: M_Ch equals 5.83 solar masses divided by the square of the mean molecular weight per electron, μ_e. For a fully ionized helium, carbon, or oxygen plasma the usual textbook choice is μ_e equal to two, which yields about 1.46 solar masses—the familiar near-1.4 solar mass figure quoted for Type Ia supernova progenitors and white-dwarf mass ceilings. Enter a positive finite μ_e, and the engine returns the limit in solar masses with the squared μ_e, the fixed prefactor 5.83, and a short formula string. The path is pure deterministic arithmetic with no network calls, no sampling, and no date-dependent constants, so homework keys, contest fixtures, and CI assertions stay bit-stable across runs. Use it free in the browser or call the API at $0.002 per successful request when automation needs the same result as the widget.

How to use it

Enter your values in the form above. The tool checks them before calculating and shows the result on the same page.

Check your inputs

Use the labels and units shown next to each field. If something is missing or outside the allowed range, the page points to the field to fix.

Use it again or automate it

Use the browser tool for individual checks and the API when you need the same capability in an automated workflow.

What you can do with it

Get an answer now

Enter one set of values and see the result without building a spreadsheet or script.

Compare scenarios

Change one value at a time and rerun the calculation to understand what affects the result.

Automate repeated work

Use the API when the same calculation needs to run inside your product or workflow.

FAQ

How do I use this capability?

Complete the fields above and run it on this page. The form highlights anything that needs attention.

For developers — API access

Everything on this page is available programmatically. This section is for teams who want to wire it into their own systems; everyone else can just use the tool above.

API endpoint

POSThttps://api.kit.forhosting.com/astro/chandrasekhar-mass

Prefer to automate it? One authenticated POST creates the task; the result comes back by webhook or a signed link. The same capability also runs here on the web, by email and from Telegram — and soon from our app too.

Call it from your stack

curl -X POST https://api.kit.forhosting.com/astro/chandrasekhar-mass \
  -H "Authorization: Bearer $KIT_KEY" \
  -H "Content-Type: application/json" \
  -d '{"mu":2}'

const res = await fetch("https://api.kit.forhosting.com/astro/chandrasekhar-mass", {
  method: "POST",
  headers: {
    "Authorization": `Bearer ${process.env.KIT_KEY}`,
    "Content-Type": "application/json"
  },
  body: JSON.stringify({
    "mu": 2
  })
});
const { task_id } = await res.json();

import os, requests

res = requests.post(
    "https://api.kit.forhosting.com/astro/chandrasekhar-mass",
    headers={"Authorization": f"Bearer {os.environ['KIT_KEY']}"},
    json={
    "mu": 2
},
)
task_id = res.json()["task_id"]

<?php
$res = file_get_contents("https://api.kit.forhosting.com/astro/chandrasekhar-mass", false, stream_context_create([
  "http" => [
    "method"  => "POST",
    "header"  => "Authorization: Bearer " . getenv("KIT_KEY") . "\r\nContent-Type: application/json",
    "content" => '{"mu":2}',
  ],
]));
$task = json_decode($res, true);

body := bytes.NewBufferString(`{"mu":2}`)
req, _ := http.NewRequest("POST", "https://api.kit.forhosting.com/astro/chandrasekhar-mass", body)
req.Header.Set("Authorization", "Bearer "+os.Getenv("KIT_KEY"))
req.Header.Set("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)

Example request

{
  "mu": 2
}

Example response

{
  "task_id": "tsk_a1b2c3d4e5f6a1b2c3d4e5f6",
  "type": "astro.chandrasekhar_mass",
  "status": "queued",
  "_links": {
    "result": "/tasks/tsk_…/result"
  }
}

The API is asynchronous: the call returns a task_id immediately and the result arrives by webhook. Polling is capped at 1 req/s per task.

Pricing

Per request$0.002

Published price — no tokens, no invented credits. A failed task is never charged.

Errors

HTTP	Code	Meaning
`401`	`unauthorized`	Missing or invalid API key.
`402`	`insufficient_balance`	Your balance doesn't cover the task price.
`404`	`unknown_type`	That task type doesn't exist.
`429`	`rate_limited`	Too many requests. Use the webhook instead of polling.

Read the full KIT documentation →