✨ Walker Constellation Designer

Walker delta i:T/P/F — plane & in-plane spacing, phasing, per-satellite elements

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Walker Pattern

Pattern Properties

Sats per plane
–
RAAN spacing
– deg
In-plane spacing
– deg
Inter-plane phase offset
– deg
Orbital period
– min
Single-sat footprint λ
– deg
Footprint / Earth
– %
T × footprint / Earth
– ×

Per-Satellite Elements

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📖 How to use

  1. Enter the Walker pattern i:T/P/F — T satellites in P equally-spaced planes at inclination i, with phasing factor F setting the anomaly offset between adjacent planes (ΔM = 360·F/T).输入 Walker 构型 i:T/P/F —— T 颗卫星均布于 P 个等间隔轨道面，倾角 i，相位因子 F 决定相邻面间的相位差（ΔM = 360·F/T）。
  2. The table lists every satellite's RAAN and initial mean anomaly — a ready starting point for a propagator or STK/GMAT scenario.表格给出每颗卫星的升交点赤经与初始平近点角——可直接作为轨道递推或 STK/GMAT 场景的初值。
  3. "T × footprint / Earth" > 1 is necessary (not sufficient) for continuous global coverage; real gap analysis needs a propagator, but this quickly rules out undersized patterns.“T × 足迹 / 地球” > 1 是连续全球覆盖的必要（非充分）条件；精确的缝隙分析需递推仿真，但该指标能快速排除规模不足的方案。
  4. All planes share one inclination — for SSO constellations set i from the Sun-Synchronous tool.所有轨道面共用同一倾角——太阳同步星座请用太阳同步轨道工具确定 i。

Walker delta patterns

A Walker delta constellation i:T/P/F spreads P orbital planes evenly over 360° of RAAN (Δ Ω = 360°/P), with T/P satellites evenly spaced in each plane (Δ M = 360·P/T within a plane). The phasing factor F (0…P−1) staggers adjacent planes by ΔM = 360°·F/T, which controls how satellites interleave at plane crossings — critical for avoiding coverage gaps and, at low altitude, collision risk at high-latitude crossings.

GPS uses roughly 55°:24/6/1 at 20 180 km; Iridium is a near-polar Walker star 86.4°:66/6/2 at 780 km. Broadband LEO shells are Walker deltas with tens of planes.

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Walker 星座构型

Walker delta 星座 i:T/P/F 把 P 个轨道面均匀分布在 360° 升交点赤经上（ΔΩ = 360°/P），每面 T/P 颗卫星等间隔（面内 ΔM = 360·P/T）。相位因子 F（0…P−1）使相邻面错开 ΔM = 360°·F/T，决定卫星在轨道面交叉处的交错方式——对避免覆盖缝隙以及低轨高纬交叉处的碰撞风险都很关键。

GPS 约为 55°:24/6/1（20 180 km）；铱星为近极轨 Walker star 86.4°:66/6/2（780 km）；低轨宽带星座多为数十个面的 Walker delta。

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