b2f6122dd2
Each node pulls exactly as its body inside its outermost child, exactly as one body of its family's mass beyond its own support, and nothing beyond its reach; the root has no reach, so the zone's far field is exactly c(M_zone) however the generator splits it. C4 on every band edge, closed-form potential (grid = K phi), Plummer core. Probe against today, a2, c2, b1 and the tapered draft: ratio, funnel, 12-18 u/s, far field, split invariance, whole-zone depth, and evaluation cost. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
15 lines
1.1 KiB
Python
15 lines
1.1 KiB
Python
# Self-pull check: a lone body (mass 100) at 200 u on a bodyless node that orbits a sun at 3000 u. Its rail reads the
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# node's own terms; a law that counts the body's own mass in the node's family term pulls it toward the node.
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# Reuses probe3.py's term builders (its definitions only; the probe's main loop is not run).
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import os, sys
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import numpy as np
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HERE = os.path.dirname(os.path.abspath(__file__))
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src = open(os.path.join(HERE, 'probe3.py'), encoding='utf-8').read()
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g = {'__file__': os.path.join(HERE, 'probe3.py')}
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exec(src[:src.index('rng = np.random')], g); g['rng'] = np.random.default_rng(7)
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exec(src[src.index('def zone_struct'):src.index('pick = [int')], g)
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par = np.array([-1, 0, 1]); D = np.array([0., 3000., 200.]); m = np.array([5000., 0., 100.]); body = np.array([True, False, True])
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own = g['strength'](100.0) * 200 / (200 ** 2 + g['core_radius'](100.0) ** 2)
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for name, build in (('tapered draft', g['build_terms_tapered']), ('band', g['build_terms_band'])):
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T = build(par, D, m, body, g['TIDAL'])[0]
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print(f'{name}: the node pulls the lone body at {g["own_pull"](T, 1, 200.0) / own:.3f} of its own pull')
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