{"id":"vidhyamitra:city-day:mathura:2101-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2101-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-07-20","date_display":"July 20, 2101 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":2101,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488634.770833,"kali_year":5203,"ahargana":1900169.2708,"sun":{"sidereal_longitude":91.2924,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":20.7473,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.4549,"elapsed_within_tithi_degrees":1.4549},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.7473,"elapsed_within_degrees":7.414},"yoga":{"number":9,"name":"Śūla","sum_longitude":112.0398},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"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":2101,"month":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488634.770833,"ahargana":1900169.2708,"kali_year":5203,"ayanamsa_lahiri":25.2715,"grahas":{"sun":{"sidereal_longitude":91.98760800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":23.351707999999974,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":4.4427},"mars":{"sidereal_longitude":14.717708000000016,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":94.71870799999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":197.48080800000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":125.65940799999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":185.61580800000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":299.8878,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.8878,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2101,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488634.770833,"kali_year":5203,"ahargana":1900169.2708,"sun":{"sidereal_longitude":91.2924,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":20.7473,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.4549,"elapsed_within_tithi_degrees":1.4549},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.7473,"elapsed_within_degrees":7.414},"yoga":{"number":9,"name":"Śūla","sum_longitude":112.0398},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.443,"elongation":70.545},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.443,"opposition_distance":109.455}},"eclipse_window_40days":[{"offset_days":20,"type":"lunar","occurs":true,"moon_latitude":-0.866,"opposition_distance":2.572}]},"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":"05:36","sunsetLocal":"19:15","solarNoonLocal":"12:25","dayLengthHours":13.649287772480136,"dayLengthDisplay":"13 Hours 38 Mins 57 Secs","nightLengthDisplay":"10 Hours 21 Mins 03 Secs","moonriseLocal":"01:10","moonsetLocal":"14:31","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"14:08","startHours":12.421657020252624,"endHours":14.127817991812641,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:18","end":"09:01","startHours":7.303174105572572,"endHours":9.00933507713259,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:43","end":"12:25","startHours":10.715496048692607,"endHours":12.421657020252624,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:14","startHours":8.781846947591253,"endHours":9.236823206673925,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:32","startHours":6.165733457865894,"endHours":6.529714465132031,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.966680761169952,"endHours":12.876633279335296,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:47","end":"04:41","startHours":3.7771080976818707,"endHours":4.687060615847213,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:28","end":"05:36","startHours":4.459572486305877,"endHours":5.597013134012555,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:36","startHours":14.696538315665979,"endHours":15.606490833831321,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.046300906492693,"endHours":19.44630090649269,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:49","startHours":19.246300906492692,"endHours":19.81502123034603,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":18.996300906492692,"endHours":20.746300906492692,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.966680761169954,"endHours":24.876633279335294,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:36","end":"07:18","startHours":5.597013134012555,"endHours":7.303174105572572,"quality":"auspicious"},{"name":"Amṛta","start":"07:18","end":"09:01","startHours":7.303174105572572,"endHours":9.00933507713259,"quality":"auspicious"},{"name":"Kāla","start":"09:01","end":"10:43","startHours":9.00933507713259,"endHours":10.715496048692607,"quality":"inauspicious"},{"name":"Śubha","start":"10:43","end":"12:25","startHours":10.715496048692607,"endHours":12.421657020252624,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"14:08","startHours":12.421657020252624,"endHours":14.127817991812641,"quality":"inauspicious"},{"name":"Udveg","start":"14:08","end":"15:50","startHours":14.127817991812641,"endHours":15.833978963372658,"quality":"inauspicious"},{"name":"Chala","start":"15:50","end":"17:32","startHours":15.833978963372658,"endHours":17.540139934932675,"quality":"neutral"},{"name":"Labha","start":"17:32","end":"19:15","startHours":17.540139934932675,"endHours":19.246300906492692,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:15","end":"20:32","startHours":19.246300906492692,"endHours":20.540139934932675,"quality":"inauspicious"},{"name":"Chala","start":"20:32","end":"21:50","startHours":20.540139934932675,"endHours":21.833978963372658,"quality":"neutral"},{"name":"Labha","start":"21:50","end":"23:08","startHours":21.833978963372658,"endHours":23.12781799181264,"quality":"auspicious"},{"name":"Amṛta","start":"23:08","end":"00:25","startHours":23.12781799181264,"endHours":24.421657020252624,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"01:43","startHours":24.421657020252624,"endHours":25.715496048692607,"quality":"inauspicious"},{"name":"Śubha","start":"01:43","end":"03:01","startHours":25.715496048692607,"endHours":27.00933507713259,"quality":"auspicious"},{"name":"Roga","start":"03:01","end":"04:18","startHours":27.00933507713259,"endHours":28.303174105572573,"quality":"inauspicious"},{"name":"Udveg","start":"04:18","end":"05:36","startHours":28.303174105572573,"endHours":29.597013134012556,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.597013134012555,"endHours":6.597013134012555,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.597013134012555,"endHours":7.597013134012555,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.597013134012555,"endHours":8.597013134012556,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.597013134012556,"endHours":9.597013134012556,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.597013134012556,"endHours":10.597013134012556,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.597013134012556,"endHours":11.597013134012556,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.597013134012556,"endHours":12.597013134012556,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.597013134012556,"endHours":13.597013134012556,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.597013134012556,"endHours":14.597013134012556,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.597013134012556,"endHours":15.597013134012556,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.597013134012556,"endHours":16.597013134012556,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.597013134012556,"endHours":17.597013134012556,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.597013134012556,"endHours":18.597013134012556,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.597013134012556,"endHours":19.597013134012556,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.597013134012556,"endHours":20.597013134012556,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.597013134012556,"endHours":21.597013134012556,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.597013134012556,"endHours":22.597013134012556,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.597013134012556,"endHours":23.597013134012556,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.597013134012556,"endHours":24.597013134012556,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.597013134012556,"endHours":25.597013134012556,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.597013134012556,"endHours":26.597013134012556,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.597013134012556,"endHours":27.597013134012556,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.597013134012556,"endHours":28.597013134012556,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.597013134012556,"endHours":29.597013134012556,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":20.705339743477296,"eotMinutes":-5.99422121515736,"ayanamsa":25.2715}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Daśamī · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"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 July 20, 2101 CE · Mathurā · Vidhyamitra","description":"July 20, 2101 CE for Mathurā: Kṛṣṇa Daśamī, sūryodaya 05:36, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2101-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2101-07-20","sa":"https://sa.vidhyamitra.com/city/mathura/2101-07-20","hi":"https://hi.vidhyamitra.com/city/mathura/2101-07-20","x-default":"https://vidhyamitra.com/city/mathura/2101-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:40:44.334Z","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":"2026-05-14T12:40:44.334Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:40:44.334Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}