The next morning, Jiang Ming returned to the institute and first sent the shutdown delay table and the ballistic calculation draft from the previous day into the secure compartment.

Wu Hanzhang had just marked half a day on his schedule when he walked to the table with the revised version of the preliminary research plan.

"For the chapter on low-noise front-end, please look at the device specifications first. I'm still revising the waveguide dimensions later."

He placed the proposal on Jiang Ming's desk. The cover still read "High-Frequency Early Warning Receiver Front-End," but there was an extra blue pencil mark in the corner of the page.

Jiang Ming flipped to the newly added chapter.

The mixing loss, junction capacitance, reverse leakage current, and noise coefficient required for a 24 GHz low-noise front-end are listed in a table, with each specification followed by requirements for germanium single crystal purity, resistivity uniformity, and crystal defects.

The previously separate semiconductor material line and receiver front-end line have been formally merged into the same pre-research plan after this modification, and device materials have changed from supporting conditions to core technology entry points.

"The junction consistency of the mixer diode needs to be further evaluated by the resistivity change of a single crystal along its length, which will directly affect the batch dispersion."

Jiang Ming used a red pencil to add the device grouping and matching requirements next to the uniformity index, and also wrote the fourth crystal pulling plan into the appendix.

Wu Hanzhang pulled out a sketch of a device structure from under the empty cigarette box and placed it next to the newly added chapter.

"I think so too, so the timeline was moved back. Before the quartz crucible control experiment is completed, the device group will first make the fixture and point contact structure, without cutting the actual material."

Fang Xudong came in carrying a file bag and placed the quartz pipe material acceptance form that Wang Shouwu had brought on the corner of the table.

"The tubing has been delivered to Workshop No. 1. Master Sun is currently machining the first crucible. The diamond tool has just been sharpened, and the feed rate is kept low. He can only make one crucible a day at most."

He unfolded the machining diagram and pointed to the rounded corners of the inner wall and the transition at the bottom.

"Quartz is hard and brittle. If the cutting edge goes too deep, the bottom edge is prone to chipping. Master Sun would rather go through it several times to ensure the uniformity of the wall thickness."

Wu Hanzhang glanced at the schedule and moved the processing date for the second crucible one position back.

"Speed ​​follows precision. The first one that passes inspection is loaded into the furnace, and the second one is kept for re-inspection and as a backup."

After reviewing the preliminary research plan, Jiang Ming signed his name on the newly added chapter.

After Wu Hanzhang and Fang Xudong left with the processing drawings, he picked up the file bag that had been delivered that morning, went into the confidential compartment, and spread out the engine shutdown delay table and the ballistic calculation draft from the previous day under the blackboard.

Ren Xinmin needed quantitative analysis; simply providing the distance difference corresponding to eighty milliseconds was not enough. The shutdown delay had to be transmitted through three layers: speed increment, shutdown state, and range sensitivity.

Jiang Ming first wrote out the baseline trajectory state, expressed the actual shutdown time as the command time plus a delay, and then included the thrust, mass and gravity loss in the velocity change rate before shutdown.

Under small disturbance conditions, the delay is short enough that the additional velocity increment can be obtained by multiplying the effective acceleration before shutdown by the delay time, and the altitude and trajectory inclination will also produce secondary changes.

He opened Qian Xuesen's black lecture notes and, following the section on linearization of small perturbations and the conditions for kernel expansion, took the partial derivatives of the range function with respect to shutdown velocity, shutdown altitude, and trajectory inclination angle.

After multiplying the three partial derivatives by the corresponding state changes, the sensitivity of the shutdown delay to the impact point and range falls into the same formula, where the velocity term occupies the main part, and the altitude and tilt terms are responsible for correction.

Jiang Ming added the relay action time and thrust chamber response time from the Soviet parameter table, which had a nominal delay of about 80 milliseconds, and then substituted them into the effective acceleration and range sensitivity coefficient before R-2 shutdown.

The first round of calculations yielded a near 0.3 km deviation in the impact range. If the thrust decay process is expanded according to the upper and lower bounds, the result still varies around this value.

He checked the result again using the complete state equation, and the final difference fell within the engineering trade-offs. The entire derivation, from writing down the reference trajectory to completing the numerical substitution, took only half an hour.

When Fang Xudong came in to deliver the quartz crucible inspection form, three error input paths had already appeared on the blackboard.

The first factor is the bias in the low-latitude atmospheric density model, contributing 1.2 to 1.8 kilometers to the landing point. The second factor is the Earth's rotation coupling correction confirmed at the preparatory meeting, which is about 1.5 kilometers. The third factor is the 0.3 kilometers caused by the shutdown delay.

Jiang Ming treated the three items as statistically independent error sources, synthesized them using the root mean square method, and then compared them with the original circular probability deviation index in the Su Fang parameter package.

Even with the lower limit of atmospheric error, the overall dispersion will still increase significantly. With the upper limit of summer error adopted, the increase will be even greater. The original Soviet indicators can no longer accommodate the differences in system conditions brought about by China's low-latitude test areas.

He wrote his final conclusion below the diagram.

After the Soviet R-2 parameters entered China's low-latitude test area, the overall impact point dispersion was expected to be 60% to 80% larger than the labeled value. A comprehensive correction was necessary before it could be used as a guidance reference.

Fang Xudong stood in front of the blackboard for a while, his gaze shifting from the three error lines to the Soviet side's accuracy indicators.

"How many live rounds did they fire at their own testing range, and how much did the actual dispersion differ from the stated value?"

"The parameter package only provides design specifications and error allocation; the number of live-fire launches, the impact point of each shot, and weather conditions are not included in the appendix."

Jiang Ming showed him the Soviet parameter catalog, and the shooting record section was still considered information that might be provided later.

Fang Xudong picked up a blue pencil and added a sentence to the right side of the composite image.

The indicators currently provided by the Soviet side are design values; the actual measured values ​​are pending verification of the firing records.

"If the actual dispersion is already greater than the design value, and this is compounded by the conditions in the Chinese test area, the pressure for correction will increase further."

"So when the next batch of data arrives, we'll first check the individual firing records, then the weather at the test site, and finally see what methods they used to eliminate the abnormal missiles."

Jiang Ming wrote these three items into the document review checklist and placed them on the same page as the two possibilities that Qian Xuesen had reminded him of.

As night fell, the sounds of the machine tools outside gradually subsided. Jiang Ming stayed in the cubicle to organize the report on the sensitivity of the shutdown delay, compressing the blackboard derivation into a three-page official draft.

The first page lists the perturbation and additional velocity increment at the shutdown moment; the second page expands the partial derivative of the range function with respect to the shutdown state; and the third page completes the 80-millisecond numerical substitution and includes a composite graph of atmospheric density, Earth's rotation, and shutdown delay.

He wrote "Submission to Ren Xinmin" on the cover of the report and set the date for the next symposium a week before it was submitted. He then put the three pages into his personal file bag.

While tidying up the desk, a corner of a kraft paper notebook peeked out from under the black lecture notes.

Jiang Ming flipped to the single crystal growth column and added the fourth crystal pulling plan after the third furnace record: quartz crucible, rotation speed of 28 revolutions per minute, pulling speed of 0.8 millimeters per minute, protective atmosphere consistent with the charging batch, the goal is to reduce the head-to-tail resistivity difference to around 10%.

If the uniformity of the middle section meets the requirements for initial device fabrication, the first batch of material can be cut from this crystal and handed over to the 24 GHz pre-research group to test the mixer diode.

The cubicle door opened, and Old Sun walked in carrying a semi-finished quartz crucible wrapped in a soft cloth, with the last processing allowance left at the bottom.

"The inner wall is finished; we'll finish the bottom tomorrow. Check the thickness now to avoid having to redo it when loading the furnace."

Jiang Ming took the crucible and slowly turned it around in front of the lamp.

The writing behind the quartz wall is clearly legible, and the outline of the rounded corners at the bottom has also been revealed.

He used calipers to check two areas and marked the final adjustment amount on the processing drawing.

"Finish it according to these dimensions. Tomorrow morning, remeasure the wall thickness, weigh it, and recalculate the temperature control parameters along with the crucible."

Old Sun rolled up the processing diagram, wrapped the crucible back in the soft cloth, and the original loading time for the fourth furnace was postponed until after the acceptance the following morning.

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