- Brief
Hey there, I thought I’d be the first to break the news to this as I had prior knowledge to this before anyone (likely) as I’ve recently heard someone figured it out but has not publicised their research. Since this has come to fruition I’ll be showing you how you can replicate the engine particle motions core essentials to use in applications that revolve around upmost performance, such as for projectiles or other niche cases.
To start with this I’ll only be detailing the process to the following particle motion factors, I wont go into detail for Velocity Inheritance & Wind & LockedToPart as they’re longer to explain and more intricate in behaviour, but these followings are the most commonly used in Particles across Roblox for VFX.
- Drag 2. Acceleration 3. Speed
- What can we achieve with this?
So from my prior experience with this, it was the ability to make pure engine Particle rendered projectiles for a upcoming project, it’s used for custom physics collisions also and allows for mass rendering of projectiles and ParticleInstance:Emit(1) bypasses the LOD distance so we’re able to make great use of it, additionally setting the texture to a single pixel can be done if memory budget is a concern.
- So lets get to the point! (The research behind this used deep learning models to achieve)
Right, so the formula behind this isn’t complicated but this is what it boils down to, I’ll step by step point out what each variable means here, also take note this is iteratively stepped in code, there’s no closed form solution I’ve been able to figure and I believe that’s due to the Drag factor, however there’s always methods to approximate it if it’s such a requirement, though precision would be limited.
We first assign position to where the actual particle emitter emits from then we assign the initial velocity via
EmissionLocation:VectorToWorldSpace(Vector3.FromNormalId(ParticleEmitter.EmissionDirection)) * ParticleEmitter.Speed
Then finally in the iterative update we perform this to step the motion
Position += Velocity * DeltaTime + Acceleration * (0.5 * DeltaTime ^ 2)
Velocity = (Velocity + Acceleration * DeltaTime) * 2 ^ (-Drag * DeltaTime)
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Velocity * DeltaTime calculates the change in position due to the object’s initial velocity during the time step.
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Acceleration * (0.5 * DeltaTime ^ 2) calculates the change in position due to the object’s acceleration during the time step.
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2 ^ (-Drag * DeltaTime) calculates the drag factor, which reduces the velocity due to drag during the time step
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Multiplying the intermediate velocity by the drag factor gives the new velocity of the object, considering the drag’s decelerating effect.
- Video demonstration & Reproduction place (You can download through Roblox)
In this video we show the repro place where we visualize attachments on the motion of the engines particles.