e2m2e — Earth to Moon, Moon to Earth

e2m2e 是面向地月空间任务规划的算法工具集基础设施。在“LLM+Agent”式自主任务规划系统中，大模型负责理解任务意图、分解与编排子任务，e2m2e 负责提供精确可靠的轨道计算工具：建立地月空间的动力学模型，生成周期轨道族，设计轨道之间的转移路径，并把结果画出来检查。

安装

用 uv 安装：

uv pip install e2m2e

发布物覆盖 Windows x86_64、Linux x86_64 与 Linux aarch64（arm64，如鲲鹏/飞腾/树莓派）的 wheel；其余平台从源码构建。

在自己的项目中使用：

uv init my-project && cd my-project
uv add e2m2e

从源码开发（需要 Rust 工具链，用于构建积分器内核）：

git clone https://github.com/cislunarspace/e2m2e.git
cd e2m2e
uv sync
make setup   # 拉取 CSPICE 编译包 + SPICE 内核（cspice-v1 / kernels-v1 release，首次必跑）
make dev     # maturin develop 构建并安装 Rust 扩展（spice 默认开启）

SPICE 内核

星历动力学需要 NASA SPICE 内核文件。本项目测试所需的全部内核（行星星历、地球自转、月球姿态、闰秒与行星常数）已打包在 GitHub Release 的 kernels-v1 中。三种配置方式：

自动配置（推荐）：make setup 下载并放入 kernels/（见 scripts/download_kernels.py）。
手动下载：从 Release 下载 kernels-v1，解压到 kernels/ 目录。
自备数据：使用自己的内核文件，放入 kernels/ 目录，或将 $SPICE_KERNEL_DIR 指向其所在路径。

官方来源：NASA NAIF。

快速开始

设计一条地月 L2 Halo 轨道（需先完成上方「SPICE 内核」配置）：

from e2m2e.api import Facade

facade = Facade()

result = facade.design_orbit(
    orbit_type="Halo",
    collinear_point=2,
    amplitude=30000.0,
    epoch=[2024, 1, 1, 0, 0, 0.0],
    duration=365.25 * 86400.0,
)

print(result.orbit_type)
print(result.initial_state)

参数含义、返回字段与其他轨道类型见在线文档；可运行示例见 examples/ 目录。

能力

已建成与未建成的部分按领域列出。详细的能力清单与 API 文档见在线文档；逐版本变更见 CHANGELOG.md。

时空系统

坐标系转换：J2000 / ITRF93（SPICE 高精度）/ IAU 2006，GMAT 兼容的原生 ITRF，动态坐标轴 VNB / LVLH。
时空联合转换：TDT+GCRS ↔ TDB+EBCRS（r2s2 后端，含相对论项）。
SPICE 星历与时间管理：内核加载、UTC / TDB / TAI 时间尺度、天体状态与帧旋转查询。

积分器与动力学

Rust 积分器内核：单步 RK（PD45 / PD78 / RK89）、Adams 多步、Störmer–Cowell 二阶积分；状态转移矩阵（STM）传播；事件检测（terminal / direction 语义）。
动力学模型：CR3BP（快速设计）、星历 N 体（SPICE，精确外推）、含太阳解析摄动的 BCR4BP，以及三者之间的转换。
高精度力模型：点质量与第三体引力、球谐重力场（含固体潮）、ECOM 9 系数光压、大气阻力、太阳光压、连续推力，传播精度与 GMAT、DFH 对齐到亚百米级。

任务轨道设计

周期轨道族：DRO、Halo、Lyapunov、Lissajous、共振轨道（RO）、DPO、Axial、三角平动点 SPO / LPO、Horseshoe。
数值算法：微分修正、多重打靶、延拓；全链路 CR3BP 初猜 → 星历修正 → 高精度预报。
名义轨道契约（NominalOrbit）：等间距状态表 + Floquet 基 + 投影因子，供轨道保持直接消费。

转移轨道设计

脉冲转移：Lambert 求解与 porkchop 扫描、多脉冲优化（Lawden 主矢量检验）、霍曼直接转移（HMN）。
低能量转移：月球引力辅助（LGA）、WSB 太阳引力辅助弹道捕获、不变流形与庞加莱截面拼接。
低推力转移：Q-law 初猜 + 打靶 / 配点。
网格搜索 + 非线性规划两步法（Rust Rayon 并行）。

轨道控制

三种控制律：特征点、目标点严格、目标点宽松；蒙特卡洛测定轨与推力误差仿真。
角动量管理：姿态发动机联合控制。

接口与工具

Facade 任务级入口，统一对外调用面。
未建成：MCP 服务化封装——Facade 方法的元数据与派生机制已就位，create_server / e2m2e mcp-serve 尚为占位（[mcp] extra）。

文档

在线文档：https://cislunarspace.github.io/e2m2e/

本地构建：

uv sync --group docs
uv run sphinx-build -b html docs docs/_build/html

测试与代码规范

make test     # Rust 测试 + Python xdist 并行测试（需先 make setup 拉内核）
make check    # cargo fmt/clippy + ruff

测试按“验证什么”分七类，目录镜像源码结构：

theory：数学公式与物理理论（解析解、Jacobi 常数等守恒量、文献公式）
integrator：积分器对解析轨道的精度
force：力模型的加速度与雅可比
data：内核、参考帧、物理常数等数据层
orchestration：设计、修正、转移等算法编排链路
interface：Facade API 的校验、响应与错误翻译
aux：日志等辅助工具

断言来自解析解、守恒量与文献公式，不与其他软件对照。Rust 侧数值方法在 crates/*/tests/ 对解析解。

贡献

Fork 本仓库
创建功能分支 (git checkout -b feature/amazing-feature)
提交更改 (git commit -m 'Add amazing feature')
推送到分支 (git push origin feature/amazing-feature)
开启 Pull Request

引用

@software{e2m2e,
  title = {e2m2e: Earth to Moon, Moon to Earth Transfer Orbit Design Library},
  author = {ouyangjiahong},
  email = {ouyangjiahong22@nudt.edu.cn},
  url = {https://github.com/cislunarspace/e2m2e},
  version = {5.7.2},
  year = {2026},
}

License

Apache 2.0

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