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03 // 双向 STEM 与金融计算器 // 物理力学、电磁学与热力学计算器F = (G × m₁ × m₂) / r²

牛顿万有引力定律计算器

根据 F = G × m₁ × m₂ / r² 计算天体或质点间的万有引力大小、天体质量或轨道中心间距。

F = (G × m₁ × m₂) / r²
选择要计算的未知量（或直接在任意输入框中输入数值）：当前求解: F — Gravitational Force
计算结果

Mutual attractive force in Newtons

1.0000e-121.0000e+25

Mass of first body in kilograms

11.0000e+30

Mass of second body in kilograms

11.0000e+30

Separation radius between centers of mass in meters

0.11.0000e+12
计算结果 · Gravitational Force (F)
0.66743N
单位换算：

分步代入计算过程

01Canonical Law: F = (G × m₁ × m₂) / r²
02Given Inputs (Base Units): m₁ = 1.0000e+9 kg, m₂ = 1.0000e+7 kg, r = 1,000 m
03Solve for F (Gravitational Force): F = 0.6674 N

Newton's Law of Universal Gravitation states that every point mass attracts every other point mass with a force proportional to the product of their masses and inversely proportional to the square of their center-to-center separation r.

常见参考标准值

Gravitational Constant (G)6.67430 × 10⁻¹¹ N·m²/kg²

CODATA universal constant of gravitation

Earth–Moon Attraction1.98 × 10²⁰ N

At mean orbital separation r = 384,400 km

Inverse-Square Law2× Distance → ¼ Force

Doubling separation r reduces gravity by 75%

20 行数值对照表

Gravitational Force (F) · Primary Mass (m₁)

Newton's Law of Universal Gravitation Calculator — Primary Mass → Gravitational Force
#Primary Mass (kg)Gravitational Force (N)Δ %
011.0000e+9 kg当前0.66743 N0.00%
027.2368e+27 kg4.8301e+18 N+723684210526315872256.00%
031.4474e+28 kg9.6602e+18 N+1.4473684210526317e+21%
042.1711e+28 kg1.4490e+19 N+2.1710526315789476e+21%
052.8947e+28 kg1.9320e+19 N+2.8947368421052635e+21%
063.6184e+28 kg2.4150e+19 N+3.61842105263158e+21%
074.3421e+28 kg2.8981e+19 N+4.342105263157895e+21%
085.0658e+28 kg3.3811e+19 N+5.065789473684211e+21%
095.7895e+28 kg3.8641e+19 N+5.789473684210527e+21%
106.5132e+28 kg4.3471e+19 N+6.513157894736842e+21%
117.2368e+28 kg4.8301e+19 N+7.23684210526316e+21%
127.9605e+28 kg5.3131e+19 N+7.960526315789475e+21%
138.6842e+28 kg5.7961e+19 N+8.68421052631579e+21%
149.4079e+28 kg6.2791e+19 N+9.407894736842106e+21%
151.0132e+29 kg6.7621e+19 N+1.0131578947368422e+22%
161.0855e+29 kg7.2451e+19 N+1.085526315789474e+22%
171.1579e+29 kg7.7281e+19 N+1.1578947368421054e+22%
181.2303e+29 kg8.2111e+19 N+1.2302631578947369e+22%
191.3026e+29 kg8.6942e+19 N+1.3026315789473684e+22%
201.3750e+29 kg9.1772e+19 N+1.375e+22%
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常见问题解答 (FAQ)

如何使用在线 牛顿万有引力定律计算器 工具？+

输入已知参数或拖动滑块，即可在浏览器中实时计算并可视化 牛顿万有引力定律计算器（基于关系式 F = (G × m₁ × m₂) / r²）。根据 F = G × m₁ × m₂ / r² 计算天体或质点间的万有引力大小、天体质量或轨道中心间距。

可以导出或打印 牛顿万有引力定律计算器 的结果吗？+

可以。支持一键复制数据、打印计算工作表或导出高清 SVG、PNG 和 CSV 文件。

我可以清空 牛顿万有引力定律计算器 中的示例数据并从空白状态开始吗？+

可以。点击工具顶部的“清空 / 空白开始”按钮即可重置所有输入项，随时也可一键重新加载示例数据。