{"id":"vidhyamitra:city-day:mathura:2159-11-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2159-11-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-11-01","date_display":"November 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":11,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509922.770833,"kali_year":5261,"ahargana":1921457.2708,"sun":{"sidereal_longitude":191.2255,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":76.1481,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":244.9225,"elapsed_within_tithi_degrees":4.9225},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.1481,"elapsed_within_degrees":9.4814},"yoga":{"number":21,"name":"Siddha","sum_longitude":267.3736},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":11,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509922.770833,"ahargana":1921457.2708,"kali_year":5261,"ayanamsa_lahiri":26.0857,"grahas":{"sun":{"sidereal_longitude":192.30555000000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":79.29214999999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":-0.3293},"mars":{"sidereal_longitude":277.50585,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":172.21195,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":179.93165,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":149.08935000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":184.62394999999992,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":251.9471,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":71.9471,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":11,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509922.770833,"kali_year":5261,"ahargana":1921457.2708,"sun":{"sidereal_longitude":191.2255,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":76.1481,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":244.9225,"elapsed_within_tithi_degrees":4.9225},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.1481,"elapsed_within_degrees":9.4814},"yoga":{"number":21,"name":"Siddha","sum_longitude":267.3736},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.329,"elongation":115.077},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.329,"opposition_distance":64.923}},"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":"06:29","sunsetLocal":"17:36","solarNoonLocal":"12:03","dayLengthHours":11.113846114134496,"dayLengthDisplay":"11 Hours 06 Mins 50 Secs","nightLengthDisplay":"12 Hours 53 Mins 10 Secs","moonriseLocal":"21:38","moonsetLocal":"11:24","rahuKala":{"name":"Rāhu Kāla","start":"13:26","end":"14:50","startHours":13.43694688231193,"endHours":14.82617764657874,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:29","end":"07:53","startHours":6.490793060977868,"endHours":7.88002382524468,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:16","end":"10:40","startHours":9.269254589511492,"endHours":10.658485353778303,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.084023820942583,"endHours":9.454485358080401,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:57","end":"07:15","startHours":6.953869982400139,"endHours":7.250239212110392,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:25","startHours":11.6772545809073,"endHours":12.418177655182932,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:01","end":"05:45","startHours":5.008946912426602,"endHours":5.749869986702235,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:34","end":"06:29","startHours":5.564639218133327,"endHours":6.490793060977868,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:38","startHours":13.9000238037342,"endHours":14.640946878009833,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:24","end":"17:48","startHours":17.404639175112365,"endHours":17.804639175112364,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:36","end":"18:04","startHours":17.604639175112364,"endHours":18.067716096534635,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:21","end":"19:06","startHours":17.354639175112364,"endHours":19.104639175112364,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:25","startHours":23.6772545809073,"endHours":24.418177655182934,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:29","end":"07:53","startHours":6.490793060977868,"endHours":7.88002382524468,"quality":"auspicious"},{"name":"Roga","start":"07:53","end":"09:16","startHours":7.88002382524468,"endHours":9.269254589511492,"quality":"inauspicious"},{"name":"Udveg","start":"09:16","end":"10:40","startHours":9.269254589511492,"endHours":10.658485353778303,"quality":"inauspicious"},{"name":"Chala","start":"10:40","end":"12:03","startHours":10.658485353778303,"endHours":12.047716118045116,"quality":"neutral"},{"name":"Labha","start":"12:03","end":"13:26","startHours":12.047716118045116,"endHours":13.43694688231193,"quality":"auspicious"},{"name":"Amṛta","start":"13:26","end":"14:50","startHours":13.43694688231193,"endHours":14.82617764657874,"quality":"auspicious"},{"name":"Kāla","start":"14:50","end":"16:13","startHours":14.82617764657874,"endHours":16.21540841084555,"quality":"inauspicious"},{"name":"Śubha","start":"16:13","end":"17:36","startHours":16.21540841084555,"endHours":17.604639175112364,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:36","end":"19:13","startHours":17.604639175112364,"endHours":19.21540841084555,"quality":"auspicious"},{"name":"Kāla","start":"19:13","end":"20:50","startHours":19.21540841084555,"endHours":20.826177646578742,"quality":"inauspicious"},{"name":"Śubha","start":"20:50","end":"22:26","startHours":20.826177646578742,"endHours":22.43694688231193,"quality":"auspicious"},{"name":"Roga","start":"22:26","end":"00:03","startHours":22.43694688231193,"endHours":24.047716118045116,"quality":"inauspicious"},{"name":"Udveg","start":"00:03","end":"01:40","startHours":24.047716118045116,"endHours":25.658485353778303,"quality":"inauspicious"},{"name":"Chala","start":"01:40","end":"03:16","startHours":25.658485353778303,"endHours":27.26925458951149,"quality":"neutral"},{"name":"Labha","start":"03:16","end":"04:53","startHours":27.26925458951149,"endHours":28.88002382524468,"quality":"auspicious"},{"name":"Amṛta","start":"04:53","end":"06:29","startHours":28.88002382524468,"endHours":30.490793060977868,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:29","end":"07:29","startHours":6.490793060977868,"endHours":7.490793060977868,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:29","end":"08:29","startHours":7.490793060977868,"endHours":8.490793060977868,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:29","end":"09:29","startHours":8.490793060977868,"endHours":9.490793060977868,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:29","end":"10:29","startHours":9.490793060977868,"endHours":10.490793060977868,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:29","end":"11:29","startHours":10.490793060977868,"endHours":11.490793060977868,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:29","end":"12:29","startHours":11.490793060977868,"endHours":12.490793060977868,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:29","end":"13:29","startHours":12.490793060977868,"endHours":13.490793060977868,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:29","end":"14:29","startHours":13.490793060977868,"endHours":14.490793060977868,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:29","end":"15:29","startHours":14.490793060977868,"endHours":15.490793060977868,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:29","end":"16:29","startHours":15.490793060977868,"endHours":16.490793060977868,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:29","end":"17:29","startHours":16.490793060977868,"endHours":17.490793060977868,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:29","end":"18:29","startHours":17.490793060977868,"endHours":18.490793060977868,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:29","end":"19:29","startHours":18.490793060977868,"endHours":19.490793060977868,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:29","end":"20:29","startHours":19.490793060977868,"endHours":20.490793060977868,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:29","end":"21:29","startHours":20.490793060977868,"endHours":21.490793060977868,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:29","end":"22:29","startHours":21.490793060977868,"endHours":22.490793060977868,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:29","end":"23:29","startHours":22.490793060977868,"endHours":23.490793060977868,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:29","end":"00:29","startHours":23.490793060977868,"endHours":24.490793060977868,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:29","end":"01:29","startHours":24.490793060977868,"endHours":25.490793060977868,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:29","end":"02:29","startHours":25.490793060977868,"endHours":26.490793060977868,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:29","end":"03:29","startHours":26.490793060977868,"endHours":27.490793060977868,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:29","end":"04:29","startHours":27.490793060977868,"endHours":28.490793060977868,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:29","end":"05:29","startHours":28.490793060977868,"endHours":29.490793060977868,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:29","end":"06:29","startHours":29.490793060977868,"endHours":30.490793060977868,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-14.300237579876175,"eotMinutes":16.442232917293087,"ayanamsa":26.0857}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Ṣaṣṭhī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 November 1, 2159 CE · Mathurā · Vidhyamitra","description":"November 1, 2159 CE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:29, sūryāsta 17:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2159-11-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2159-11-01","sa":"https://sa.vidhyamitra.com/city/mathura/2159-11-01","hi":"https://hi.vidhyamitra.com/city/mathura/2159-11-01","x-default":"https://vidhyamitra.com/city/mathura/2159-11-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T17:38:44.950Z","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":"2026-05-19T17:38:44.950Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T17:38:44.950Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}