{"id":"vidhyamitra:day:1830-10-07:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1830-10-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1830-10-07","date_display":"October 7, 1830 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":1830,"month":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2389732.770833,"kali_year":4932,"ahargana":1801267.2708,"sun":{"sidereal_longitude":171.4409,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":53.9779,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":242.537,"elapsed_within_tithi_degrees":2.537},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":53.9779,"elapsed_within_degrees":0.6446},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.4188},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1830,"month":10,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2389732.770833,"ahargana":1801267.2708,"kali_year":4932,"ayanamsa_lahiri":21.4889,"grahas":{"sun":{"sidereal_longitude":171.77439200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":57.469791999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":-4.4902},"mars":{"sidereal_longitude":332.89839200000006,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":186.77749200000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":260.6761919999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":155.529492,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":127.98699199999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":140.1917,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.1917,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":1830,"month":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2389732.770833,"kali_year":4932,"ahargana":1801267.2708,"sun":{"sidereal_longitude":171.4409,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":53.9779,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":242.537,"elapsed_within_tithi_degrees":2.537},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":53.9779,"elapsed_within_degrees":0.6446},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.4188},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.49,"elongation":117.463},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.49,"opposition_distance":62.537}},"eclipse_window_40days":[{"offset_days":-20,"type":"solar","occurs":true,"moon_latitude":0.885,"elongation":0.796}]},"calendars":{"vikram_samvat":1887,"vikram_samvatsara":"Śobhana","saka_samvat":1752,"saka_samvatsara":"Vikṛti","bengali_samvat":1237,"malayalam_era":1006,"nanakshahi_year":361,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Ṣaṣṭhī · Vikram 1887 Śobhana · Śaka 1752 Vikṛti"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1830-10-07T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga October 7, 1830 CE · Vidhyamitra","description":"Vedic pañchāṅga for October 7, 1830 CE: Kṛṣṇa Ṣaṣṭhī · Mṛgaśīrṣā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1830-10-07","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1830-10-07","sa":"https://sa.vidhyamitra.com/day/1830-10-07","hi":"https://hi.vidhyamitra.com/day/1830-10-07","x-default":"https://vidhyamitra.com/day/1830-10-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T18:44:22.190Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-20T18:44:22.190Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}