{"id":"vidhyamitra:day:1904-04-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1904-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1904-04-13","date_display":"April 13, 1904 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":1904,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416583.770833,"kali_year":5005,"ahargana":1828118.2708,"sun":{"sidereal_longitude":0.5249,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":326.9358,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.4109,"elapsed_within_tithi_degrees":2.4109},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":326.9358,"elapsed_within_degrees":6.9358},"yoga":{"number":25,"name":"Brahma","sum_longitude":327.4607},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1904,"month":4,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2416583.770833,"ahargana":1828118.2708,"kali_year":5005,"ayanamsa_lahiri":22.5159,"grahas":{"sun":{"sidereal_longitude":0.1693859999999745,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":327.97038599999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":0.8239},"mars":{"sidereal_longitude":13.478386,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":18.364486,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":349.257386,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":338.740286,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":297.91118600000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":157.4965,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":337.4965,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":1904,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416583.770833,"kali_year":5005,"ahargana":1828118.2708,"sun":{"sidereal_longitude":0.5249,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":326.9358,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.4109,"elapsed_within_tithi_degrees":2.4109},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":326.9358,"elapsed_within_degrees":6.9358},"yoga":{"number":25,"name":"Brahma","sum_longitude":327.4607},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.824,"elongation":33.589},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.824,"opposition_distance":146.411}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1961,"vikram_samvatsara":"Piṅgala","saka_samvat":1826,"saka_samvatsara":"Krodhi","bengali_samvat":1311,"malayalam_era":1080,"nanakshahi_year":435,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Trayodaśī · Vikram 1961 Piṅgala · Śaka 1826 Krodhi"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1904-04-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga April 13, 1904 CE · Vidhyamitra","description":"Vedic pañchāṅga for April 13, 1904 CE: Kṛṣṇa Trayodaśī · Pūrva Bhādrapadā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1904-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1904-04-13","sa":"https://sa.vidhyamitra.com/day/1904-04-13","hi":"https://hi.vidhyamitra.com/day/1904-04-13","x-default":"https://vidhyamitra.com/day/1904-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:40:30.905Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T09:40:30.905Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}