{"id":"vidhyamitra:city-day:mathura:2097-10-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2097-10-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2097-10-05","date_display":"October 5, 2097 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":2097,"month":10,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2487251.770833,"kali_year":5199,"ahargana":1898786.2708,"sun":{"sidereal_longitude":166.4192,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":162.5164,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":356.0973,"elapsed_within_tithi_degrees":8.0973},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":162.5164,"elapsed_within_degrees":2.5164},"yoga":{"number":25,"name":"Brahma","sum_longitude":328.9356},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2097,"month":10,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2487251.770833,"ahargana":1898786.2708,"kali_year":5199,"ayanamsa_lahiri":25.2187,"grahas":{"sun":{"sidereal_longitude":167.40154900000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":161.822949,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false,"latitude":2.2923},"mars":{"sidereal_longitude":284.21404899999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":177.338749,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":109.71214900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":148.45984900000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":148.17944899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":13.1658,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":193.1658,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2097,"month":10,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2487251.770833,"kali_year":5199,"ahargana":1898786.2708,"sun":{"sidereal_longitude":166.4192,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":162.5164,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":356.0973,"elapsed_within_tithi_degrees":8.0973},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":162.5164,"elapsed_within_degrees":2.5164},"yoga":{"number":25,"name":"Brahma","sum_longitude":328.9356},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.292,"elongation":3.903},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.292,"opposition_distance":176.097}},"eclipse_window_40days":[{"offset_days":16,"type":"lunar","occurs":true,"moon_latitude":-0.897,"opposition_distance":1.469}]},"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":"06:14","sunsetLocal":"18:00","solarNoonLocal":"12:07","dayLengthHours":11.778859459788688,"dayLengthDisplay":"11 Hours 46 Mins 44 Secs","nightLengthDisplay":"12 Hours 13 Mins 16 Secs","moonriseLocal":"05:48","moonsetLocal":"17:41","rahuKala":{"name":"Rāhu Kāla","start":"09:10","end":"10:39","startHours":9.170500464046679,"endHours":10.642857896520264,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:35","end":"15:04","startHours":13.587572761467436,"endHours":15.059930193941021,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:14","end":"07:42","startHours":6.225785599099506,"endHours":7.6981430315730925,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.974186139716867,"endHours":9.36681478837649,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:02","startHours":6.716571409924034,"endHours":7.030674328851733,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:30","startHours":11.722586680334228,"endHours":12.507843977653472,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:26","startHours":4.655271004461015,"endHours":5.44052830178026,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:15","end":"06:14","startHours":5.244213977450449,"endHours":6.225785599099506,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:52","startHours":14.078358572291965,"endHours":14.86361586961121,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:48","end":"18:12","startHours":17.804645058888195,"endHours":18.204645058888193,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:00","end":"18:30","startHours":18.004645058888194,"endHours":18.495430869712724,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:45","end":"19:30","startHours":17.754645058888194,"endHours":19.504645058888194,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:30","startHours":23.722586680334224,"endHours":24.507843977653472,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:14","end":"07:42","startHours":6.225785599099506,"endHours":7.6981430315730925,"quality":"inauspicious"},{"name":"Śubha","start":"07:42","end":"09:10","startHours":7.6981430315730925,"endHours":9.170500464046679,"quality":"auspicious"},{"name":"Roga","start":"09:10","end":"10:39","startHours":9.170500464046679,"endHours":10.642857896520264,"quality":"inauspicious"},{"name":"Udveg","start":"10:39","end":"12:07","startHours":10.642857896520264,"endHours":12.11521532899385,"quality":"inauspicious"},{"name":"Chala","start":"12:07","end":"13:35","startHours":12.11521532899385,"endHours":13.587572761467436,"quality":"neutral"},{"name":"Labha","start":"13:35","end":"15:04","startHours":13.587572761467436,"endHours":15.059930193941021,"quality":"auspicious"},{"name":"Amṛta","start":"15:04","end":"16:32","startHours":15.059930193941021,"endHours":16.532287626414607,"quality":"auspicious"},{"name":"Kāla","start":"16:32","end":"18:00","startHours":16.532287626414607,"endHours":18.004645058888194,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:00","end":"19:32","startHours":18.004645058888194,"endHours":19.532287626414607,"quality":"auspicious"},{"name":"Amṛta","start":"19:32","end":"21:04","startHours":19.532287626414607,"endHours":21.05993019394102,"quality":"auspicious"},{"name":"Kāla","start":"21:04","end":"22:35","startHours":21.05993019394102,"endHours":22.587572761467435,"quality":"inauspicious"},{"name":"Śubha","start":"22:35","end":"00:07","startHours":22.587572761467435,"endHours":24.11521532899385,"quality":"auspicious"},{"name":"Roga","start":"00:07","end":"01:39","startHours":24.11521532899385,"endHours":25.642857896520262,"quality":"inauspicious"},{"name":"Udveg","start":"01:39","end":"03:10","startHours":25.642857896520262,"endHours":27.17050046404668,"quality":"inauspicious"},{"name":"Chala","start":"03:10","end":"04:42","startHours":27.17050046404668,"endHours":28.698143031573093,"quality":"neutral"},{"name":"Labha","start":"04:42","end":"06:14","startHours":28.698143031573093,"endHours":30.225785599099506,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:14","end":"07:14","startHours":6.225785599099506,"endHours":7.225785599099506,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:14","end":"08:14","startHours":7.225785599099506,"endHours":8.225785599099506,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:14","end":"09:14","startHours":8.225785599099506,"endHours":9.225785599099506,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:14","end":"10:14","startHours":9.225785599099506,"endHours":10.225785599099506,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:14","end":"11:14","startHours":10.225785599099506,"endHours":11.225785599099506,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:14","end":"12:14","startHours":11.225785599099506,"endHours":12.225785599099506,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:14","end":"13:14","startHours":12.225785599099506,"endHours":13.225785599099506,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:14","end":"14:14","startHours":13.225785599099506,"endHours":14.225785599099506,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:14","end":"15:14","startHours":14.225785599099506,"endHours":15.225785599099506,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:14","end":"16:14","startHours":15.225785599099506,"endHours":16.225785599099506,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:14","end":"17:14","startHours":16.225785599099506,"endHours":17.225785599099506,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:14","end":"18:14","startHours":17.225785599099506,"endHours":18.225785599099506,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:14","end":"19:14","startHours":18.225785599099506,"endHours":19.225785599099506,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:14","end":"20:14","startHours":19.225785599099506,"endHours":20.225785599099506,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:14","end":"21:14","startHours":20.225785599099506,"endHours":21.225785599099506,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:14","end":"22:14","startHours":21.225785599099506,"endHours":22.225785599099506,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:14","end":"23:14","startHours":22.225785599099506,"endHours":23.225785599099506,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:14","end":"00:14","startHours":23.225785599099506,"endHours":24.225785599099506,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:14","end":"01:14","startHours":24.225785599099506,"endHours":25.225785599099506,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:14","end":"02:14","startHours":25.225785599099506,"endHours":26.225785599099506,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:14","end":"03:14","startHours":26.225785599099506,"endHours":27.225785599099506,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:14","end":"04:14","startHours":27.225785599099506,"endHours":28.225785599099506,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:14","end":"05:14","startHours":28.225785599099506,"endHours":29.225785599099506,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:14","end":"06:14","startHours":29.225785599099506,"endHours":30.225785599099506,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Vajra","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":-4.985280915734817,"eotMinutes":12.392280260369008,"ayanamsa":25.2187}},"calendars":{"vikram_samvat":2154,"vikram_samvatsara":"Pramoda","saka_samvat":2019,"saka_samvatsara":"Piṅgala","bengali_samvat":1504,"malayalam_era":1273,"nanakshahi_year":628,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Amāvasyā · Vikram 2154 Pramoda · Śaka 2019 Piṅgala"},"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}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","relevance":0.5}]},"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 5, 2097 CE · Mathurā · Vidhyamitra","description":"October 5, 2097 CE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 06:14, sūryāsta 18:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2097-10-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2097-10-05","sa":"https://sa.vidhyamitra.com/city/mathura/2097-10-05","hi":"https://hi.vidhyamitra.com/city/mathura/2097-10-05","x-default":"https://vidhyamitra.com/city/mathura/2097-10-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:53:08.238Z","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":"2026-05-14T14:53:08.238Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:53:08.238Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}