{"id":"vidhyamitra:city-day:mathura:-3136-02-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3136-02-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3136-02-18","date_display":"February 18, 3137 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":-3136,"month":2,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575681.770833,"kali_year":-34,"ahargana":-12783.7292,"sun":{"sidereal_longitude":2.6052,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":43.4,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.7948,"elapsed_within_tithi_degrees":4.7948},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":43.4,"elapsed_within_degrees":3.4},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.0052},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":-3136,"month":2,"day":18,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575681.770833,"ahargana":-12783.7292,"kali_year":-34,"ayanamsa_lahiri":-47.8917,"grahas":{"sun":{"sidereal_longitude":2.6052,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":43.4,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":-4.4893},"mars":{"sidereal_longitude":103.6384,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":335.0827,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":17.593,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":17.3524,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":290.6808,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":137.3435,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":317.3435,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":"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":-3136,"month":2,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575681.770833,"kali_year":-34,"ahargana":-12783.7292,"sun":{"sidereal_longitude":2.6052,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":43.4,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.7948,"elapsed_within_tithi_degrees":4.7948},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":43.4,"elapsed_within_degrees":3.4},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.0052},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.489,"elongation":40.795},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.489,"opposition_distance":139.205}},"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":"07:05","sunsetLocal":"18:02","solarNoonLocal":"12:34","dayLengthHours":10.955853172614596,"dayLengthDisplay":"10 Hours 57 Mins 21 Secs","nightLengthDisplay":"13 Hours 02 Mins 39 Secs","moonriseLocal":"09:18","moonsetLocal":"21:16","rahuKala":{"name":"Rāhu Kāla","start":"12:34","end":"13:56","startHours":12.562334603540005,"endHours":13.931816250116832,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:27","end":"09:49","startHours":8.453889663809534,"endHours":9.823371310386356,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:12","end":"12:34","startHours":11.192852956963183,"endHours":12.562334603540005,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"10:00","startHours":9.640773757509447,"endHours":10.005968863263266,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:50","startHours":7.540901899424983,"endHours":7.833057984028039,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:12","end":"12:56","startHours":12.197139497786186,"endHours":12.927529709293825,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:37","end":"06:21","startHours":5.623627594217429,"endHours":6.354017805725069,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:10","end":"07:05","startHours":6.171420252848159,"endHours":7.084408017232708,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:07","startHours":14.388310132309105,"endHours":15.118700343816744,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.840261189847304,"endHours":18.240261189847303,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:30","startHours":18.040261189847303,"endHours":18.496755072039576,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.790261189847303,"endHours":19.540261189847303,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:12","end":"00:56","startHours":24.197139497786186,"endHours":24.927529709293825,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:05","end":"08:27","startHours":7.084408017232708,"endHours":8.453889663809534,"quality":"auspicious"},{"name":"Amṛta","start":"08:27","end":"09:49","startHours":8.453889663809534,"endHours":9.823371310386356,"quality":"auspicious"},{"name":"Kāla","start":"09:49","end":"11:12","startHours":9.823371310386356,"endHours":11.192852956963183,"quality":"inauspicious"},{"name":"Śubha","start":"11:12","end":"12:34","startHours":11.192852956963183,"endHours":12.562334603540005,"quality":"auspicious"},{"name":"Roga","start":"12:34","end":"13:56","startHours":12.562334603540005,"endHours":13.931816250116832,"quality":"inauspicious"},{"name":"Udveg","start":"13:56","end":"15:18","startHours":13.931816250116832,"endHours":15.301297896693654,"quality":"inauspicious"},{"name":"Chala","start":"15:18","end":"16:40","startHours":15.301297896693654,"endHours":16.67077954327048,"quality":"neutral"},{"name":"Labha","start":"16:40","end":"18:02","startHours":16.67077954327048,"endHours":18.040261189847303,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:02","end":"19:40","startHours":18.040261189847303,"endHours":19.670779543270477,"quality":"inauspicious"},{"name":"Chala","start":"19:40","end":"21:18","startHours":19.670779543270477,"endHours":21.301297896693654,"quality":"neutral"},{"name":"Labha","start":"21:18","end":"22:56","startHours":21.301297896693654,"endHours":22.93181625011683,"quality":"auspicious"},{"name":"Amṛta","start":"22:56","end":"00:34","startHours":22.93181625011683,"endHours":24.562334603540005,"quality":"auspicious"},{"name":"Kāla","start":"00:34","end":"02:12","startHours":24.562334603540005,"endHours":26.19285295696318,"quality":"inauspicious"},{"name":"Śubha","start":"02:12","end":"03:49","startHours":26.19285295696318,"endHours":27.823371310386356,"quality":"auspicious"},{"name":"Roga","start":"03:49","end":"05:27","startHours":27.823371310386356,"endHours":29.453889663809534,"quality":"inauspicious"},{"name":"Udveg","start":"05:27","end":"07:05","startHours":29.453889663809534,"endHours":31.084408017232708,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.084408017232708,"endHours":8.084408017232708,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.084408017232708,"endHours":9.084408017232708,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.084408017232708,"endHours":10.084408017232708,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.084408017232708,"endHours":11.084408017232708,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.084408017232708,"endHours":12.084408017232708,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.084408017232708,"endHours":13.084408017232708,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.084408017232708,"endHours":14.084408017232708,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.084408017232708,"endHours":15.084408017232708,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.084408017232708,"endHours":16.084408017232708,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.084408017232708,"endHours":17.084408017232708,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.084408017232708,"endHours":18.084408017232708,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.084408017232708,"endHours":19.084408017232708,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.084408017232708,"endHours":20.084408017232708,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.084408017232708,"endHours":21.084408017232708,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.084408017232708,"endHours":22.084408017232708,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.084408017232708,"endHours":23.084408017232708,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.084408017232708,"endHours":24.084408017232708,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.084408017232708,"endHours":25.084408017232708,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.084408017232708,"endHours":26.084408017232708,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.084408017232708,"endHours":27.084408017232708,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.084408017232708,"endHours":28.084408017232708,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.084408017232708,"endHours":29.084408017232708,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.084408017232708,"endHours":30.084408017232708,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.084408017232708,"endHours":31.084408017232708,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"undefined (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-16.417956899820453,"eotMinutes":-14.434876212400278,"ayanamsa":-47.8917}},"calendars":{"vikram_samvat":-3079,"saka_samvat":-3214,"bengali_samvat":-3729,"malayalam_era":-3960,"nanakshahi_year":-4605,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Caturthī · Vikram -3079 undefined · Śaka -3214 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":"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":"Dedicated festival walk for Vināyaka Caturthī (monthly) is not live yet; Budhavāra (Wednesday) — 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 February 18, 3137 BCE · Mathurā · Vidhyamitra","description":"February 18, 3137 BCE for Mathurā: Śukla Caturthī, sūryodaya 07:05, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3136-02-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3136-02-18","sa":"https://sa.vidhyamitra.com/city/mathura/-3136-02-18","hi":"https://hi.vidhyamitra.com/city/mathura/-3136-02-18","x-default":"https://vidhyamitra.com/city/mathura/-3136-02-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T02:39:12.860Z","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":"2026-08-13T02:39:12.860Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T02:39:12.860Z","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"}}}