{"id":"vidhyamitra:day:1781-10-24:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1781-10-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1781-10-24","date_display":"October 24, 1781 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1781,"month":10,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2371853.770833,"kali_year":4883,"ahargana":1783388.2708,"sun":{"sidereal_longitude":190.0328,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":275.9435,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":85.9107,"elapsed_within_tithi_degrees":1.9107},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":275.9435,"elapsed_within_degrees":9.2768},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":105.9763},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":1781,"month":10,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2371853.770833,"ahargana":1783388.2708,"kali_year":4883,"ayanamsa_lahiri":20.8051,"grahas":{"sun":{"sidereal_longitude":190.208801,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":279.098201,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":-4.4983},"mars":{"sidereal_longitude":292.931201,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":212.15730099999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":222.33940099999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":230.11040100000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":238.73830099999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":7.5071,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":187.5071,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1781,"month":10,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2371853.770833,"kali_year":4883,"ahargana":1783388.2708,"sun":{"sidereal_longitude":190.0328,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":275.9435,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":85.9107,"elapsed_within_tithi_degrees":1.9107},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":275.9435,"elapsed_within_degrees":9.2768},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":105.9763},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.498,"elongation":85.911},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.498,"opposition_distance":94.089}},"eclipse_window_40days":[{"offset_days":8,"type":"lunar","occurs":true,"moon_latitude":0.709,"opposition_distance":1.916}]},"calendars":{"vikram_samvat":1838,"vikram_samvatsara":"Ānanda","saka_samvat":1703,"saka_samvatsara":"Plava","bengali_samvat":1188,"malayalam_era":957,"nanakshahi_year":312,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Aṣṭamī · Vikram 1838 Ānanda · Śaka 1703 Plava"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"1781-10-24T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga October 24, 1781 CE · Vidhyamitra","description":"Vedic pañchāṅga for October 24, 1781 CE: Śukla Aṣṭamī · Uttara Āṣāḍhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1781-10-24","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1781-10-24","sa":"https://sa.vidhyamitra.com/day/1781-10-24","hi":"https://hi.vidhyamitra.com/day/1781-10-24","x-default":"https://vidhyamitra.com/day/1781-10-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-25T14:10:19.467Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-25T14:10:19.467Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}