{"id":"vidhyamitra:day:1790-07-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1790-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1790-07-13","date_display":"July 13, 1790 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":1790,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2375037.770833,"kali_year":4892,"ahargana":1786572.2708,"sun":{"sidereal_longitude":89.8458,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":99.236,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":9.3902,"elapsed_within_tithi_degrees":9.3902},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":99.236,"elapsed_within_degrees":5.9027},"yoga":{"number":15,"name":"Vajra","sum_longitude":189.0818},"karana":{"half_tithi_index":1,"name":"Bava"},"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":1790,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2375037.770833,"ahargana":1786572.2708,"kali_year":4892,"ayanamsa_lahiri":20.9269,"grahas":{"sun":{"sidereal_longitude":89.78234900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":100.12964899999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":-4.4373},"mars":{"sidereal_longitude":157.321149,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":73.35074900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":132.471749,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":51.856149000000016,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":347.533349,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":198.8035,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":18.8035,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"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":1790,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2375037.770833,"kali_year":4892,"ahargana":1786572.2708,"sun":{"sidereal_longitude":89.8458,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":99.236,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":9.3902,"elapsed_within_tithi_degrees":9.3902},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":99.236,"elapsed_within_degrees":5.9027},"yoga":{"number":15,"name":"Vajra","sum_longitude":189.0818},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.437,"elongation":9.39},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.437,"opposition_distance":170.61}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1847,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":1712,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1197,"malayalam_era":966,"nanakshahi_year":321,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Pratipada · Vikram 1847 Rudhirodgāri · Śaka 1712 Sādhāraṇa"},"festivals":[{"id":"ashadha-gupta-navratri-start","name":"Āṣāḍha Gupta Navrātri Start","name_sanskrit":"आषाढ गुप्त नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī (10 Mahāvidyās)","significance":"Second Gupta Navrātri.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":3},{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"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":"1790-07-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga July 13, 1790 CE · Vidhyamitra","description":"Vedic pañchāṅga for July 13, 1790 CE: Śukla Pratipada · Puṣya.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1790-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1790-07-13","sa":"https://sa.vidhyamitra.com/day/1790-07-13","hi":"https://hi.vidhyamitra.com/day/1790-07-13","x-default":"https://vidhyamitra.com/day/1790-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T21:37:07.218Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-24T21:37:07.218Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}