{"id":"vidhyamitra:city-day:mathura:2159-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2159-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-10-01","date_display":"October 1, 2159 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":2159,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509891.770833,"kali_year":5261,"ahargana":1921426.2708,"sun":{"sidereal_longitude":160.4785,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":24.4374,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.9589,"elapsed_within_tithi_degrees":7.9589},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":24.4374,"elapsed_within_degrees":11.104},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.9158},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":2159,"month":10,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509891.770833,"ahargana":1921426.2708,"kali_year":5261,"ayanamsa_lahiri":26.0845,"grahas":{"sun":{"sidereal_longitude":161.61073499999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":26.25583499999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":3.4025},"mars":{"sidereal_longitude":257.835235,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":180.61193500000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":173.19863499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"venus":{"sidereal_longitude":114.142135,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":180.91283499999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":253.5896,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":73.5896,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"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":2159,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509891.770833,"kali_year":5261,"ahargana":1921426.2708,"sun":{"sidereal_longitude":160.4785,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":24.4374,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.9589,"elapsed_within_tithi_degrees":7.9589},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":24.4374,"elapsed_within_degrees":11.104},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.9158},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.403,"elongation":136.041},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.403,"opposition_distance":43.959}},"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":"06:11","sunsetLocal":"18:06","solarNoonLocal":"12:08","dayLengthHours":11.913347238404416,"dayLengthDisplay":"11 Hours 54 Mins 48 Secs","nightLengthDisplay":"12 Hours 05 Mins 12 Secs","moonriseLocal":"20:24","moonsetLocal":"09:49","rahuKala":{"name":"Rāhu Kāla","start":"07:40","end":"09:09","startHours":7.668118715821938,"endHours":9.15728712062249,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:39","end":"12:08","startHours":10.646455525423043,"endHours":12.135623930223595,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:37","end":"15:07","startHours":13.624792335024146,"endHours":15.113960739824698,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.95873133331575,"endHours":9.35584290792923,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:00","startHours":6.675339779288237,"endHours":6.993029038979021,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:32","startHours":11.738512355610112,"endHours":12.532735504837074,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:35","end":"05:23","startHours":4.590504012567464,"endHours":5.384727161794425,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:11","end":"06:11","startHours":5.186171374487684,"endHours":6.178950311021386,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:55","startHours":14.121181803290996,"endHours":14.915404952517957,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:54","end":"18:18","startHours":17.892297549425802,"endHours":18.2922975494258,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:06","end":"18:35","startHours":18.0922975494258,"endHours":18.588687017692653,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:51","end":"19:36","startHours":17.8422975494258,"endHours":19.5922975494258,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:32","startHours":23.738512355610116,"endHours":24.532735504837074,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:11","end":"07:40","startHours":6.178950311021386,"endHours":7.668118715821938,"quality":"auspicious"},{"name":"Kāla","start":"07:40","end":"09:09","startHours":7.668118715821938,"endHours":9.15728712062249,"quality":"inauspicious"},{"name":"Śubha","start":"09:09","end":"10:39","startHours":9.15728712062249,"endHours":10.646455525423043,"quality":"auspicious"},{"name":"Roga","start":"10:39","end":"12:08","startHours":10.646455525423043,"endHours":12.135623930223595,"quality":"inauspicious"},{"name":"Udveg","start":"12:08","end":"13:37","startHours":12.135623930223595,"endHours":13.624792335024146,"quality":"inauspicious"},{"name":"Chala","start":"13:37","end":"15:07","startHours":13.624792335024146,"endHours":15.113960739824698,"quality":"neutral"},{"name":"Labha","start":"15:07","end":"16:36","startHours":15.113960739824698,"endHours":16.60312914462525,"quality":"auspicious"},{"name":"Amṛta","start":"16:36","end":"18:06","startHours":16.60312914462525,"endHours":18.0922975494258,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:06","end":"19:36","startHours":18.0922975494258,"endHours":19.60312914462525,"quality":"neutral"},{"name":"Labha","start":"19:36","end":"21:07","startHours":19.60312914462525,"endHours":21.113960739824698,"quality":"auspicious"},{"name":"Amṛta","start":"21:07","end":"22:37","startHours":21.113960739824698,"endHours":22.624792335024146,"quality":"auspicious"},{"name":"Kāla","start":"22:37","end":"00:08","startHours":22.624792335024146,"endHours":24.135623930223595,"quality":"inauspicious"},{"name":"Śubha","start":"00:08","end":"01:39","startHours":24.135623930223595,"endHours":25.646455525423043,"quality":"auspicious"},{"name":"Roga","start":"01:39","end":"03:09","startHours":25.646455525423043,"endHours":27.157287120622488,"quality":"inauspicious"},{"name":"Udveg","start":"03:09","end":"04:40","startHours":27.157287120622488,"endHours":28.668118715821937,"quality":"inauspicious"},{"name":"Chala","start":"04:40","end":"06:11","startHours":28.668118715821937,"endHours":30.178950311021385,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:11","end":"07:11","startHours":6.178950311021386,"endHours":7.178950311021386,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:11","end":"08:11","startHours":7.178950311021386,"endHours":8.178950311021385,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:11","end":"09:11","startHours":8.178950311021385,"endHours":9.178950311021385,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:11","end":"10:11","startHours":9.178950311021385,"endHours":10.178950311021385,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:11","end":"11:11","startHours":10.178950311021385,"endHours":11.178950311021385,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:11","end":"12:11","startHours":11.178950311021385,"endHours":12.178950311021385,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:11","end":"13:11","startHours":12.178950311021385,"endHours":13.178950311021385,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:11","end":"14:11","startHours":13.178950311021385,"endHours":14.178950311021385,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:11","end":"15:11","startHours":14.178950311021385,"endHours":15.178950311021385,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:11","end":"16:11","startHours":15.178950311021385,"endHours":16.178950311021385,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:11","end":"17:11","startHours":16.178950311021385,"endHours":17.178950311021385,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:11","end":"18:11","startHours":17.178950311021385,"endHours":18.178950311021385,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:11","end":"19:11","startHours":18.178950311021385,"endHours":19.178950311021385,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:11","end":"20:11","startHours":19.178950311021385,"endHours":20.178950311021385,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:11","end":"21:11","startHours":20.178950311021385,"endHours":21.178950311021385,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:11","end":"22:11","startHours":21.178950311021385,"endHours":22.178950311021385,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:11","end":"23:11","startHours":22.178950311021385,"endHours":23.178950311021385,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:11","end":"00:11","startHours":23.178950311021385,"endHours":24.178950311021385,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:11","end":"01:11","startHours":24.178950311021385,"endHours":25.178950311021385,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:11","end":"02:11","startHours":25.178950311021385,"endHours":26.178950311021385,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:11","end":"03:11","startHours":26.178950311021385,"endHours":27.178950311021385,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:11","end":"04:11","startHours":27.178950311021385,"endHours":28.178950311021385,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:11","end":"05:11","startHours":28.178950311021385,"endHours":29.178950311021385,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:11","end":"06:11","startHours":29.178950311021385,"endHours":30.178950311021385,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-3.0528958862524664,"eotMinutes":11.167764186584405,"ayanamsa":26.0845}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturthī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"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 October 1, 2159 CE · Mathurā · Vidhyamitra","description":"October 1, 2159 CE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 06:11, sūryāsta 18:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2159-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2159-10-01","sa":"https://sa.vidhyamitra.com/city/mathura/2159-10-01","hi":"https://hi.vidhyamitra.com/city/mathura/2159-10-01","x-default":"https://vidhyamitra.com/city/mathura/2159-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T01:45:22.843Z","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":"2026-05-20T01:45:22.843Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T01:45:22.843Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}