Rocket Parameters
ΔVは質量比 対数に比例。現在 設定値が赤点で示され。
$\Delta V = I_{sp} \cdot g_0 \cdot \ln\!\left(\dfrac{m_0}{m_f}\right)$
推力と質量流量
$F = \dot{m} \cdot V_e = \dot{m} \cdot I_{sp} \cdot g_0$
g₀ = 9.80665 m/s²(標準重力Acceleration)
Calculate ΔV from specific impulse and mass ratio using the Tsiolkovsky rocket equation in real time. Compare with real rocket engines and explore multi-stage rocket performance.
ΔVは質量比 対数に比例。現在 設定値が赤点で示され。
固体ロケットは燃料と酸化剤を固体で混合済み ため、製造・保管・整備が簡単で即応性が高い(軍用ミサイル等に有利)。液体ロケットは推進剤を別Tankに分けて保管し、噴射量を制御できるため高Ispが実現できる(H-IIA、Falcon 9等)。一般にIspは固体が200〜280秒、液体が300〜460秒。
2つ 円軌道 間を最小ΔVで移動する楕円軌道。出発軌道 近地点でΔV₁を加速、到着軌道 遠地点でΔV₂を加速する2回 燃焼でDoneし。地球軌道from 火星軌道へ ホーマン遷移には約5〜6km/s ΔVが必要。
IonEngineは電場でキセノンなど 推進剤を加速し、1000〜10000秒というIspsを実現し。しかし推力は非常に小さい(mN〜N程度)ため燃焼時間が長く(数ヶ月〜年単位)な。深宇宙探査機(はやぶさ等)や静止衛星 軌道維持に最適。
宇宙ミッション全体で使えるΔV 総計。地球低軌道(LEO)to が約9.4km/s、LEO→月遷移軌道が約3.2km/s、月面着陸が約2.1km/s ように各フェーズを積算し。これを「ΔV予算」と呼び、全ミッション ロケット規模設計 基礎にな。
Starship(Super Heavy + Starship 2段式) 低軌道投入能力は約100〜150ton(推定)。フル積載時 ΔVは9〜10km/s程度で、軌道補給Noneでは火星到達に不足するため、軌道上で 推進剤補給(軌道上Runデブー)を複数回行う計画。
Rocket Thrust Simulator is a fundamental topic in engineering and applied physics. This interactive simulator lets you explore the key behaviors and relationships by directly manipulating parameters and observing real-time results.
By combining numerical computation with visual feedback, the simulator bridges the gap between abstract theory and physical intuition — making it an effective learning tool for students and a rapid-verification tool for practicing engineers.
The simulator is based on the governing equations behind Rocket Thrust & Tsiolkovsky Equation SimulatorV. Understanding these equations is key to interpreting the results correctly.
Each parameter in the equations corresponds to a slider in the control panel. Moving a slider changes the equation's solution in real time, helping you build a direct connection between mathematical expressions and physical behavior.
Engineering Design: The concepts behind Rocket Thrust & Tsiolkovsky Equation SimulatorV are applied across mechanical, structural, electrical, and fluid engineering disciplines. This tool provides a quick way to estimate design parameters and sensitivity before committing to full CAE analysis.
Education & Research: Widely used in engineering curricula to connect theory with numerical computation. Also serves as a first-pass validation tool in research settings.
CAE Workflow Integration: Before running finite element (FEM) or computational fluid dynamics (CFD) simulations, engineers use simplified models like this to establish physical scale, identify dominant parameters, and define realistic boundary conditions.
Model assumptions: The mathematical model used here relies on simplifying assumptions such as linearity, homogeneity, and isotropy. Always verify that your real system satisfies these assumptions before applying results directly to design decisions.
Units and scale: Many calculation errors arise from unit conversion mistakes or order-of-magnitude errors. Pay close attention to the units shown next to each parameter input.
Validating results: Always sanity-check simulator output against physical intuition or hand calculations. If a result seems unexpected, review your input parameters or verify with an independent method.