Orbital Period

{
  "aphelionAu": 1.7831,
  "asOf": "2026-10-11T08:41:44.646Z",
  "centralMassSolar": 1,
  "degraded": false,
  "disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
  "eccentricity": 0.223,
  "formula": "T(years)^2 = a(au)^3 / M(solar masses); year = 365.25 days",
  "meanDistanceNote": "Speeds use the vis-viva equation.",
  "meanMotionDegPerDay": 0.55986,
  "notChecked": [
    "perturbations by planets (real periods drift slightly)",
    "the mass of the orbiting body, which is negligible for asteroids and comets",
    "…1 more"
  ],
  "perihelionAu": 1.1329,
  "periodDays": 643.023,
  "periodYears": 1.7605,
  "reasons": [
    "Kepler's third law with a Julian year of 365.25 days; accurate to better than 0.1% for solar orbits."
  ],
  "semiMajorAxisAu": 1.458,
  "source": "computed locally",
  "speedAtAphelionKmS": 19.66,
  "speedAtPerihelionKmS": 30.95,
  "summary": "Semi-major axis 1.458 au gives an orbital period of 1.761 years (643 days). Perihelion 1.133 au (30.9 km/s), aphelion 1.783 au (19.7 km/s).",
  "verdict": "COMPUTED"
}

# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i 'https://space-objects.x402tookit.com/orbital-period?eccentricity=0.223&semiMajorAxisAu=1.458'

# x402 v2 sends the challenge base64-encoded in the PAYMENT-REQUIRED header (v1 sends it in the body).
# To read the header:
curl -sS -g -o /dev/null -D - 'https://space-objects.x402tookit.com/orbital-period?eccentricity=0.223&semiMajorAxisAu=1.458' \
  | grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decode

// npm i @x402/fetch @x402/evm viem
import { wrapFetchWithPayment, x402Client } from "@x402/fetch";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";

// Pays at most $0.02 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.02" });
registerExactEvmScheme(client, { signer: privateKeyToAccount(process.env.EVM_PRIVATE_KEY) });
const pay = wrapFetchWithPayment(fetch, client);

// Not sure it's safe to pay? ToolVet checks it first for $0.005. Pay for that from a separate
// client: this one is capped at $0.02 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Fspace-objects.x402tookit.com%2Forbital-period
const res = await pay("https://space-objects.x402tookit.com/orbital-period?eccentricity=0.223&semiMajorAxisAu=1.458");
console.log(res.status, await res.text());

# pip install "x402[requests,evm]"
import os
from eth_account import Account
from x402 import x402ClientSync
from x402.http.clients import x402_requests
from x402.mechanisms.evm import EthAccountSigner
from x402.mechanisms.evm.exact.register import register_exact_evm_client

# Pays at most $0.02 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.02"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))

with x402_requests(client) as session:
    res = session.get("https://space-objects.x402tookit.com/orbital-period?eccentricity=0.223&semiMajorAxisAu=1.458")
    print(res.status_code, res.text)