{"id":"vidhyamitra:city-day:mathura:2103-10-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2103-10-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-10-02","date_display":"October 2, 2103 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":2103,"month":10,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489438.770833,"kali_year":5205,"ahargana":1900973.2708,"sun":{"sidereal_longitude":161.9413,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":170.8198,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":8.8786,"elapsed_within_tithi_degrees":8.8786},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":170.8198,"elapsed_within_degrees":10.8198},"yoga":{"number":25,"name":"Brahma","sum_longitude":332.7611},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2103,"month":10,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489438.770833,"ahargana":1900973.2708,"kali_year":5205,"ayanamsa_lahiri":25.3023,"grahas":{"sun":{"sidereal_longitude":162.93829000000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":170.67289000000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-4.4914},"mars":{"sidereal_longitude":79.49819000000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":161.99788999999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":261.88079000000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":115.31599,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":212.00909000000001,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":257.288,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":77.288,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":"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":2103,"month":10,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489438.770833,"kali_year":5205,"ahargana":1900973.2708,"sun":{"sidereal_longitude":161.9413,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":170.8198,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":8.8786,"elapsed_within_tithi_degrees":8.8786},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":170.8198,"elapsed_within_degrees":10.8198},"yoga":{"number":25,"name":"Brahma","sum_longitude":332.7611},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.491,"elongation":8.879},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.491,"opposition_distance":171.121}},"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":"18:05","solarNoonLocal":"12:08","dayLengthHours":11.898398912340419,"dayLengthDisplay":"11 Hours 53 Mins 54 Secs","nightLengthDisplay":"12 Hours 06 Mins 06 Secs","moonriseLocal":"06:49","moonsetLocal":"18:28","rahuKala":{"name":"Rāhu Kāla","start":"15:06","end":"16:36","startHours":15.10494572922114,"endHours":16.592245593263694,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:09","end":"10:39","startHours":9.15574627305093,"endHours":10.643046137093483,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:08","end":"13:37","startHours":12.130346001136036,"endHours":13.617645865178588,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:21","startHours":8.957439624511924,"endHours":9.354052921589938,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:00","startHours":6.676913166313343,"endHours":6.994203803975754,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:32","startHours":11.733732704058022,"endHours":12.52695929821405,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:36","end":"05:23","startHours":4.594693356653771,"endHours":5.387919950809798,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:11","end":"06:11","startHours":5.189613302270791,"endHours":6.181146544965826,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:54","startHours":14.113412486526105,"endHours":14.906639080682133,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.879545457306246,"endHours":18.279545457306245,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:35","startHours":18.079545457306246,"endHours":18.575312078653763,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.829545457306246,"endHours":19.579545457306246,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:32","startHours":23.733732704058024,"endHours":24.52695929821405,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:11","end":"07:40","startHours":6.181146544965826,"endHours":7.668446409008379,"quality":"inauspicious"},{"name":"Udveg","start":"07:40","end":"09:09","startHours":7.668446409008379,"endHours":9.15574627305093,"quality":"inauspicious"},{"name":"Chala","start":"09:09","end":"10:39","startHours":9.15574627305093,"endHours":10.643046137093483,"quality":"neutral"},{"name":"Labha","start":"10:39","end":"12:08","startHours":10.643046137093483,"endHours":12.130346001136036,"quality":"auspicious"},{"name":"Amṛta","start":"12:08","end":"13:37","startHours":12.130346001136036,"endHours":13.617645865178588,"quality":"auspicious"},{"name":"Kāla","start":"13:37","end":"15:06","startHours":13.617645865178588,"endHours":15.10494572922114,"quality":"inauspicious"},{"name":"Śubha","start":"15:06","end":"16:36","startHours":15.10494572922114,"endHours":16.592245593263694,"quality":"auspicious"},{"name":"Roga","start":"16:36","end":"18:05","startHours":16.592245593263694,"endHours":18.079545457306246,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:05","end":"19:36","startHours":18.079545457306246,"endHours":19.592245593263694,"quality":"inauspicious"},{"name":"Śubha","start":"19:36","end":"21:06","startHours":19.592245593263694,"endHours":21.104945729221143,"quality":"auspicious"},{"name":"Roga","start":"21:06","end":"22:37","startHours":21.104945729221143,"endHours":22.617645865178588,"quality":"inauspicious"},{"name":"Udveg","start":"22:37","end":"00:08","startHours":22.617645865178588,"endHours":24.130346001136036,"quality":"inauspicious"},{"name":"Chala","start":"00:08","end":"01:39","startHours":24.130346001136036,"endHours":25.643046137093485,"quality":"neutral"},{"name":"Labha","start":"01:39","end":"03:09","startHours":25.643046137093485,"endHours":27.15574627305093,"quality":"auspicious"},{"name":"Amṛta","start":"03:09","end":"04:40","startHours":27.15574627305093,"endHours":28.66844640900838,"quality":"auspicious"},{"name":"Kāla","start":"04:40","end":"06:11","startHours":28.66844640900838,"endHours":30.181146544965827,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:11","end":"07:11","startHours":6.181146544965826,"endHours":7.181146544965826,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:11","end":"08:11","startHours":7.181146544965826,"endHours":8.181146544965827,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:11","end":"09:11","startHours":8.181146544965827,"endHours":9.181146544965827,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:11","end":"10:11","startHours":9.181146544965827,"endHours":10.181146544965827,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:11","end":"11:11","startHours":10.181146544965827,"endHours":11.181146544965827,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:11","end":"12:11","startHours":11.181146544965827,"endHours":12.181146544965827,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:11","end":"13:11","startHours":12.181146544965827,"endHours":13.181146544965827,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:11","end":"14:11","startHours":13.181146544965827,"endHours":14.181146544965827,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:11","end":"15:11","startHours":14.181146544965827,"endHours":15.181146544965827,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:11","end":"16:11","startHours":15.181146544965827,"endHours":16.181146544965827,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:11","end":"17:11","startHours":16.181146544965827,"endHours":17.181146544965827,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:11","end":"18:11","startHours":17.181146544965827,"endHours":18.181146544965827,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:11","end":"19:11","startHours":18.181146544965827,"endHours":19.181146544965827,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:11","end":"20:11","startHours":19.181146544965827,"endHours":20.181146544965827,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:11","end":"21:11","startHours":20.181146544965827,"endHours":21.181146544965827,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:11","end":"22:11","startHours":21.181146544965827,"endHours":22.181146544965827,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:11","end":"23:11","startHours":22.181146544965827,"endHours":23.181146544965827,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:11","end":"00:11","startHours":23.181146544965827,"endHours":24.181146544965827,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:11","end":"01:11","startHours":24.181146544965827,"endHours":25.181146544965827,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:11","end":"02:11","startHours":25.181146544965827,"endHours":26.181146544965827,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:11","end":"03:11","startHours":26.181146544965827,"endHours":27.181146544965827,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:11","end":"04:11","startHours":27.181146544965827,"endHours":28.181146544965827,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:11","end":"05:11","startHours":28.181146544965827,"endHours":29.181146544965827,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:11","end":"06:11","startHours":29.181146544965827,"endHours":30.181146544965827,"planetary_lord":"Saturn"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"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":-3.2680337670172883,"eotMinutes":11.484439931837855,"ayanamsa":25.3023}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Pratipada · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"festivals":[{"id":"sharadiya-navratri-start","name":"Śāradīya Navrātri Start","name_sanskrit":"शारदीय नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī Durgā","significance":"Autumn Navrātri begins; Devī Mahiṣāsura-mardinī worship for 9 nights.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1},{"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}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 2, 2103 CE · Mathurā · Vidhyamitra","description":"October 2, 2103 CE for Mathurā: Śukla Pratipada, sūryodaya 06:11, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2103-10-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2103-10-02","sa":"https://sa.vidhyamitra.com/city/mathura/2103-10-02","hi":"https://hi.vidhyamitra.com/city/mathura/2103-10-02","x-default":"https://vidhyamitra.com/city/mathura/2103-10-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:53:53.566Z","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":"2026-05-14T14:53:53.566Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:53:53.566Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}