{"id":"vidhyamitra:day:1742-10-21:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1742-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1742-10-21","date_display":"October 21, 1742 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":1742,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2357605.770833,"kali_year":4844,"ahargana":1769140.2708,"sun":{"sidereal_longitude":187.1219,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":98.4434,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.3214,"elapsed_within_tithi_degrees":7.3214},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":98.4434,"elapsed_within_degrees":5.11},"yoga":{"number":22,"name":"Sādhya","sum_longitude":285.5653},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1742,"month":10,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2357605.770833,"ahargana":1769140.2708,"kali_year":4844,"ayanamsa_lahiri":20.2602,"grahas":{"sun":{"sidereal_longitude":187.21338000000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":101.31668000000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":3.7298},"mars":{"sidereal_longitude":114.55938000000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":212.27697999999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":140.00588,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":169.34007999999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":135.47037999999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":42.4348,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":222.4348,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"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":1742,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2357605.770833,"kali_year":4844,"ahargana":1769140.2708,"sun":{"sidereal_longitude":187.1219,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":98.4434,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.3214,"elapsed_within_tithi_degrees":7.3214},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":98.4434,"elapsed_within_degrees":5.11},"yoga":{"number":22,"name":"Sādhya","sum_longitude":285.5653},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.73,"elongation":88.679},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.73,"opposition_distance":91.321}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1799,"vikram_samvatsara":"Yuva","saka_samvat":1664,"saka_samvatsara":"Dundubhi","bengali_samvat":1149,"malayalam_era":918,"nanakshahi_year":273,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Aṣṭamī · Vikram 1799 Yuva · Śaka 1664 Dundubhi"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"1742-10-21T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga October 21, 1742 CE · Vidhyamitra","description":"Vedic pañchāṅga for October 21, 1742 CE: Kṛṣṇa Aṣṭamī · Puṣya.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1742-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1742-10-21","sa":"https://sa.vidhyamitra.com/day/1742-10-21","hi":"https://hi.vidhyamitra.com/day/1742-10-21","x-default":"https://vidhyamitra.com/day/1742-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-29T21:28:42.582Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-29T21:28:42.582Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}