{"id":"vidhyamitra:day:2301-04-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2301-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2301-04-13","date_display":"April 13, 2301 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":2301,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2561584.770833,"kali_year":5402,"ahargana":1973119.2708,"sun":{"sidereal_longitude":353.9438,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":30.1372,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.1934,"elapsed_within_tithi_degrees":0.1934},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.1372,"elapsed_within_degrees":3.4705},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.081},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2301,"month":4,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2561584.770833,"ahargana":1973119.2708,"kali_year":5402,"ayanamsa_lahiri":28.0616,"grahas":{"sun":{"sidereal_longitude":354.495082,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":32.10878200000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":-0.3534},"mars":{"sidereal_longitude":22.02548200000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":331.4561819999999,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":147.04578200000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":15.187882000000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":104.09378200000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":34.6457,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":214.6457,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2301,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2561584.770833,"kali_year":5402,"ahargana":1973119.2708,"sun":{"sidereal_longitude":353.9438,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":30.1372,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.1934,"elapsed_within_tithi_degrees":0.1934},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.1372,"elapsed_within_degrees":3.4705},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.081},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.353,"elongation":36.193},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.353,"opposition_distance":143.807}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2358,"vikram_samvatsara":"Jaya","saka_samvat":2223,"saka_samvatsara":"Vṛṣa","bengali_samvat":1708,"malayalam_era":1477,"nanakshahi_year":832,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Caturthī · Vikram 2358 Jaya · Śaka 2223 Vṛṣa"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"2301-04-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga April 13, 2301 CE · Vidhyamitra","description":"Vedic pañchāṅga for April 13, 2301 CE: Śukla Caturthī · Kṛttikā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2301-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2301-04-13","sa":"https://sa.vidhyamitra.com/day/2301-04-13","hi":"https://hi.vidhyamitra.com/day/2301-04-13","x-default":"https://vidhyamitra.com/day/2301-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T03:09:33.071Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-02T03:09:33.071Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}