{"id":"vidhyamitra:day:1845-05-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1845-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1845-05-13","date_display":"May 13, 1845 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":1845,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395064.770833,"kali_year":4947,"ahargana":1806599.2708,"sun":{"sidereal_longitude":30.7491,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":106.8952,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":76.146,"elapsed_within_tithi_degrees":4.146},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.8952,"elapsed_within_degrees":0.2285},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.6443},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1845,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2395064.770833,"ahargana":1806599.2708,"kali_year":4947,"ayanamsa_lahiri":21.6928,"grahas":{"sun":{"sidereal_longitude":30.40517,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":103.02486999999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":-4.2067},"mars":{"sidereal_longitude":288.91256999999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":26.10187000000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":6.0177699999999845,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":31.709569999999985,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":299.08116999999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":217.6767,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":37.6767,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"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":1845,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395064.770833,"kali_year":4947,"ahargana":1806599.2708,"sun":{"sidereal_longitude":30.7491,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":106.8952,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":76.146,"elapsed_within_tithi_degrees":4.146},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.8952,"elapsed_within_degrees":0.2285},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.6443},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.207,"elongation":76.146},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.207,"opposition_distance":103.854}},"eclipse_window_40days":[{"offset_days":-7,"type":"solar","occurs":true,"moon_latitude":1.313,"elongation":2.958}]},"calendars":{"vikram_samvat":1902,"vikram_samvatsara":"Kālayukta","saka_samvat":1767,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1252,"malayalam_era":1021,"nanakshahi_year":376,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Saptamī · Vikram 1902 Kālayukta · Śaka 1767 Viśvāvasu"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1845-05-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga May 13, 1845 CE · Vidhyamitra","description":"Vedic pañchāṅga for May 13, 1845 CE: Śukla Saptamī · Āśleṣā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1845-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1845-05-13","sa":"https://sa.vidhyamitra.com/day/1845-05-13","hi":"https://hi.vidhyamitra.com/day/1845-05-13","x-default":"https://vidhyamitra.com/day/1845-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T13:29:26.830Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-19T13:29:26.830Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}