{"id":"vidhyamitra:city-day:mathura:2018-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2018-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2018-10-31","date_display":"October 31, 2018 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":2018,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458422.770833,"kali_year":5120,"ahargana":1869957.2708,"sun":{"sidereal_longitude":192.7148,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":93.9156,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":261.2008,"elapsed_within_tithi_degrees":9.2008},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":93.9156,"elapsed_within_degrees":0.5823},"yoga":{"number":22,"name":"Sādhya","sum_longitude":286.6304},"karana":{"half_tithi_index":43,"name":"Bava"},"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":2018,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458422.770833,"ahargana":1869957.2708,"kali_year":5120,"ayanamsa_lahiri":24.116,"grahas":{"sun":{"sidereal_longitude":193.44892900000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":94.91722900000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":-0.5283},"mars":{"sidereal_longitude":296.2224289999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":215.544629,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":213.980229,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":186.16612899999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":250.63612899999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":100.6649,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":280.6649,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"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":2018,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458422.770833,"kali_year":5120,"ahargana":1869957.2708,"sun":{"sidereal_longitude":192.7148,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":93.9156,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":261.2008,"elapsed_within_tithi_degrees":9.2008},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":93.9156,"elapsed_within_degrees":0.5823},"yoga":{"number":22,"name":"Sādhya","sum_longitude":286.6304},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.528,"elongation":98.799},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.528,"opposition_distance":81.201}},"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":"17:37","solarNoonLocal":"12:03","dayLengthHours":11.13354381590478,"dayLengthDisplay":"11 Hours 08 Mins 01 Secs","nightLengthDisplay":"12 Hours 51 Mins 59 Secs","moonriseLocal":"22:41","moonsetLocal":"12:16","rahuKala":{"name":"Rāhu Kāla","start":"12:03","end":"13:26","startHours":12.04754034082453,"endHours":13.439233317812626,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:52","end":"09:16","startHours":7.872461409860237,"endHours":9.264154386848334,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:39","end":"12:03","startHours":10.655847363836433,"endHours":12.04754034082453,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.078595323249921,"endHours":9.449713450446747,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:57","end":"07:14","startHours":6.9446660918681715,"endHours":7.241560593625632,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:25","startHours":11.676422213627703,"endHours":12.418658468021356,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:00","end":"05:44","startHours":4.996295924084835,"endHours":5.738532178478487,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:33","end":"06:29","startHours":5.552973114880074,"endHours":6.480768432872139,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:39","startHours":13.903130976808658,"endHours":14.645367231202309,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.41431224877692,"endHours":17.81431224877692,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:05","startHours":17.61431224877692,"endHours":18.07820990777295,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.36431224877692,"endHours":19.11431224877692,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:25","startHours":23.676422213627703,"endHours":24.418658468021356,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:29","end":"07:52","startHours":6.480768432872139,"endHours":7.872461409860237,"quality":"auspicious"},{"name":"Amṛta","start":"07:52","end":"09:16","startHours":7.872461409860237,"endHours":9.264154386848334,"quality":"auspicious"},{"name":"Kāla","start":"09:16","end":"10:39","startHours":9.264154386848334,"endHours":10.655847363836433,"quality":"inauspicious"},{"name":"Śubha","start":"10:39","end":"12:03","startHours":10.655847363836433,"endHours":12.04754034082453,"quality":"auspicious"},{"name":"Roga","start":"12:03","end":"13:26","startHours":12.04754034082453,"endHours":13.439233317812626,"quality":"inauspicious"},{"name":"Udveg","start":"13:26","end":"14:50","startHours":13.439233317812626,"endHours":14.830926294800724,"quality":"inauspicious"},{"name":"Chala","start":"14:50","end":"16:13","startHours":14.830926294800724,"endHours":16.222619271788822,"quality":"neutral"},{"name":"Labha","start":"16:13","end":"17:37","startHours":16.222619271788822,"endHours":17.61431224877692,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:37","end":"19:13","startHours":17.61431224877692,"endHours":19.222619271788822,"quality":"inauspicious"},{"name":"Chala","start":"19:13","end":"20:50","startHours":19.222619271788822,"endHours":20.830926294800726,"quality":"neutral"},{"name":"Labha","start":"20:50","end":"22:26","startHours":20.830926294800726,"endHours":22.439233317812626,"quality":"auspicious"},{"name":"Amṛta","start":"22:26","end":"00:03","startHours":22.439233317812626,"endHours":24.04754034082453,"quality":"auspicious"},{"name":"Kāla","start":"00:03","end":"01:39","startHours":24.04754034082453,"endHours":25.655847363836433,"quality":"inauspicious"},{"name":"Śubha","start":"01:39","end":"03:16","startHours":25.655847363836433,"endHours":27.264154386848332,"quality":"auspicious"},{"name":"Roga","start":"03:16","end":"04:52","startHours":27.264154386848332,"endHours":28.872461409860236,"quality":"inauspicious"},{"name":"Udveg","start":"04:52","end":"06:29","startHours":28.872461409860236,"endHours":30.48076843287214,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:29","end":"07:29","startHours":6.480768432872139,"endHours":7.480768432872139,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:29","end":"08:29","startHours":7.480768432872139,"endHours":8.48076843287214,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:29","end":"09:29","startHours":8.48076843287214,"endHours":9.48076843287214,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:29","end":"10:29","startHours":9.48076843287214,"endHours":10.48076843287214,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:29","end":"11:29","startHours":10.48076843287214,"endHours":11.48076843287214,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:29","end":"12:29","startHours":11.48076843287214,"endHours":12.48076843287214,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:29","end":"13:29","startHours":12.48076843287214,"endHours":13.48076843287214,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:29","end":"14:29","startHours":13.48076843287214,"endHours":14.48076843287214,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:29","end":"15:29","startHours":14.48076843287214,"endHours":15.48076843287214,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:29","end":"16:29","startHours":15.48076843287214,"endHours":16.48076843287214,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:29","end":"17:29","startHours":16.48076843287214,"endHours":17.48076843287214,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:29","end":"18:29","startHours":17.48076843287214,"endHours":18.48076843287214,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:29","end":"19:29","startHours":18.48076843287214,"endHours":19.48076843287214,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:29","end":"20:29","startHours":19.48076843287214,"endHours":20.48076843287214,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:29","end":"21:29","startHours":20.48076843287214,"endHours":21.48076843287214,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:29","end":"22:29","startHours":21.48076843287214,"endHours":22.48076843287214,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:29","end":"23:29","startHours":22.48076843287214,"endHours":23.48076843287214,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:29","end":"00:29","startHours":23.48076843287214,"endHours":24.48076843287214,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:29","end":"01:29","startHours":24.48076843287214,"endHours":25.48076843287214,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:29","end":"02:29","startHours":25.48076843287214,"endHours":26.48076843287214,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:29","end":"03:29","startHours":26.48076843287214,"endHours":27.48076843287214,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:29","end":"04:29","startHours":27.48076843287214,"endHours":28.48076843287214,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:29","end":"05:29","startHours":28.48076843287214,"endHours":29.48076843287214,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:29","end":"06:29","startHours":29.48076843287214,"endHours":30.48076843287214,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"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":-14.033053192194366,"eotMinutes":16.45277955052819,"ayanamsa":24.116}},"calendars":{"vikram_samvat":2075,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1940,"saka_samvatsara":"Vilambī","bengali_samvat":1425,"malayalam_era":1194,"nanakshahi_year":549,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Saptamī · Vikram 2075 Virodhakṛt · Śaka 1940 Vilambī"},"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":"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,"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 31, 2018 CE · Mathurā · Vidhyamitra","description":"October 31, 2018 CE for Mathurā: Kṛṣṇa Saptamī, sūryodaya 06:29, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2018-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2018-10-31","sa":"https://sa.vidhyamitra.com/city/mathura/2018-10-31","hi":"https://hi.vidhyamitra.com/city/mathura/2018-10-31","x-default":"https://vidhyamitra.com/city/mathura/2018-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:43:00.774Z","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":"2026-05-14T14:43:00.774Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:43:00.774Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}