{"id":"vidhyamitra:city-day:mathura:-3184-04-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3184-04-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3184-04-09","date_display":"April 9, 3185 BCE","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3184,"month":4,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":558200.770833,"kali_year":-82,"ahargana":-30264.7292,"sun":{"sidereal_longitude":52.004,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":97.6926,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.6885,"elapsed_within_tithi_degrees":9.6885},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.6926,"elapsed_within_degrees":4.3592},"yoga":{"number":12,"name":"Dhruva","sum_longitude":149.6966},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-3184,"month":4,"day":9,"hour":6,"minute":30,"calendar":"julian"},"julian_day":558200.770833,"ahargana":-30264.7292,"kali_year":-82,"ayanamsa_lahiri":-48.5603,"grahas":{"sun":{"sidereal_longitude":52.004,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":97.6926,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":4.1064},"mars":{"sidereal_longitude":12.649,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":35.4285,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":14.7142,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":76.2158,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":67.4045,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":343.571,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":163.571,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3184,"month":4,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":558200.770833,"kali_year":-82,"ahargana":-30264.7292,"sun":{"sidereal_longitude":52.004,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":97.6926,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.6885,"elapsed_within_tithi_degrees":9.6885},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.6926,"elapsed_within_degrees":4.3592},"yoga":{"number":12,"name":"Dhruva","sum_longitude":149.6966},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.106,"elongation":45.689},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.106,"opposition_distance":134.311}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:15","sunsetLocal":"18:28","solarNoonLocal":"12:21","dayLengthHours":12.220274320353896,"dayLengthDisplay":"12 Hours 13 Mins 13 Secs","nightLengthDisplay":"11 Hours 46 Mins 47 Secs","moonriseLocal":"08:43","moonsetLocal":"22:05","rahuKala":{"name":"Rāhu Kāla","start":"07:46","end":"09:18","startHours":7.770755234588043,"endHours":9.29828952463228,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:50","end":"12:21","startHours":10.825823814676518,"endHours":12.353358104720755,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:53","end":"15:25","startHours":13.880892394764992,"endHours":15.408426684809228,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:06","end":"09:30","startHours":9.094618285959715,"endHours":9.501960763304844,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:05","startHours":6.752399041225218,"endHours":7.078273023101322,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:46","startHours":11.946015627375624,"endHours":12.760700582065885,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:37","end":"05:26","startHours":4.613851035163286,"endHours":5.428535989853546,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:13","end":"06:15","startHours":5.224864751180981,"endHours":6.243220944543806,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:12","startHours":14.390070491446403,"endHours":15.204755446136662,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:16","end":"18:40","startHours":18.263495264897703,"endHours":18.6634952648977,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:28","end":"18:58","startHours":18.463495264897702,"endHours":18.972673361579115,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:13","end":"19:58","startHours":18.213495264897702,"endHours":19.963495264897702,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:46","startHours":23.946015627375626,"endHours":24.760700582065883,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:15","end":"07:46","startHours":6.243220944543806,"endHours":7.770755234588043,"quality":"auspicious"},{"name":"Kāla","start":"07:46","end":"09:18","startHours":7.770755234588043,"endHours":9.29828952463228,"quality":"inauspicious"},{"name":"Śubha","start":"09:18","end":"10:50","startHours":9.29828952463228,"endHours":10.825823814676518,"quality":"auspicious"},{"name":"Roga","start":"10:50","end":"12:21","startHours":10.825823814676518,"endHours":12.353358104720755,"quality":"inauspicious"},{"name":"Udveg","start":"12:21","end":"13:53","startHours":12.353358104720755,"endHours":13.880892394764992,"quality":"inauspicious"},{"name":"Chala","start":"13:53","end":"15:25","startHours":13.880892394764992,"endHours":15.408426684809228,"quality":"neutral"},{"name":"Labha","start":"15:25","end":"16:56","startHours":15.408426684809228,"endHours":16.935960974853465,"quality":"auspicious"},{"name":"Amṛta","start":"16:56","end":"18:28","startHours":16.935960974853465,"endHours":18.463495264897702,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:28","end":"19:56","startHours":18.463495264897702,"endHours":19.935960974853465,"quality":"neutral"},{"name":"Labha","start":"19:56","end":"21:25","startHours":19.935960974853465,"endHours":21.40842668480923,"quality":"auspicious"},{"name":"Amṛta","start":"21:25","end":"22:53","startHours":21.40842668480923,"endHours":22.88089239476499,"quality":"auspicious"},{"name":"Kāla","start":"22:53","end":"00:21","startHours":22.88089239476499,"endHours":24.353358104720755,"quality":"inauspicious"},{"name":"Śubha","start":"00:21","end":"01:50","startHours":24.353358104720755,"endHours":25.825823814676518,"quality":"auspicious"},{"name":"Roga","start":"01:50","end":"03:18","startHours":25.825823814676518,"endHours":27.29828952463228,"quality":"inauspicious"},{"name":"Udveg","start":"03:18","end":"04:46","startHours":27.29828952463228,"endHours":28.770755234588044,"quality":"inauspicious"},{"name":"Chala","start":"04:46","end":"06:15","startHours":28.770755234588044,"endHours":30.243220944543808,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:15","end":"07:15","startHours":6.243220944543806,"endHours":7.243220944543806,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:15","end":"08:15","startHours":7.243220944543806,"endHours":8.243220944543806,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:15","end":"09:15","startHours":8.243220944543806,"endHours":9.243220944543806,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:15","end":"10:15","startHours":9.243220944543806,"endHours":10.243220944543806,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:15","end":"11:15","startHours":10.243220944543806,"endHours":11.243220944543806,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:15","end":"12:15","startHours":11.243220944543806,"endHours":12.243220944543806,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:15","end":"13:15","startHours":12.243220944543806,"endHours":13.243220944543806,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:15","end":"14:15","startHours":13.243220944543806,"endHours":14.243220944543806,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:15","end":"15:15","startHours":14.243220944543806,"endHours":15.243220944543806,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:15","end":"16:15","startHours":15.243220944543806,"endHours":16.243220944543808,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:15","end":"17:15","startHours":16.243220944543808,"endHours":17.243220944543808,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:15","end":"18:15","startHours":17.243220944543808,"endHours":18.243220944543808,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:15","end":"19:15","startHours":18.243220944543808,"endHours":19.243220944543808,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:15","end":"20:15","startHours":19.243220944543808,"endHours":20.243220944543808,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:15","end":"21:15","startHours":20.243220944543808,"endHours":21.243220944543808,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:15","end":"22:15","startHours":21.243220944543808,"endHours":22.243220944543808,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:15","end":"23:15","startHours":22.243220944543808,"endHours":23.243220944543808,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:15","end":"00:15","startHours":23.243220944543808,"endHours":24.243220944543808,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:15","end":"01:15","startHours":24.243220944543808,"endHours":25.243220944543808,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:15","end":"02:15","startHours":25.243220944543808,"endHours":26.243220944543808,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:15","end":"03:15","startHours":26.243220944543808,"endHours":27.243220944543808,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:15","end":"04:15","startHours":27.243220944543808,"endHours":28.243220944543808,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:15","end":"05:15","startHours":28.243220944543808,"endHours":29.243220944543808,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:15","end":"06:15","startHours":29.243220944543808,"endHours":30.243220944543808,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":1.3689770245068085,"eotMinutes":-1.8962862832453116,"ayanamsa":-48.5603}},"calendars":{"vikram_samvat":-3127,"saka_samvat":-3262,"bengali_samvat":-3777,"malayalam_era":-4008,"nanakshahi_year":-4653,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Caturthī · Vikram -3127 undefined · Śaka -3262 undefined"},"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Dedicated festival walk for Vināyaka Caturthī (monthly) is not live yet; Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga April 9, 3185 BCE · Mathurā · Vidhyamitra","description":"April 9, 3185 BCE for Mathurā: Śukla Caturthī, sūryodaya 06:15, sūryāsta 18:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3184-04-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3184-04-09","sa":"https://sa.vidhyamitra.com/city/mathura/-3184-04-09","hi":"https://hi.vidhyamitra.com/city/mathura/-3184-04-09","x-default":"https://vidhyamitra.com/city/mathura/-3184-04-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T00:00:41.056Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-08-12T00:00:41.056Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T00:00:41.056Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}