{"id":"vidhyamitra:city-day:mathura:2101-07-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2101-07-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-07-24","date_display":"July 24, 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":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488638.770833,"kali_year":5203,"ahargana":1900173.2708,"sun":{"sidereal_longitude":95.0842,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":69.2057,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.1215,"elapsed_within_tithi_degrees":10.1215},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":69.2057,"elapsed_within_degrees":2.5391},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":164.29},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488638.770833,"ahargana":1900173.2708,"kali_year":5203,"ayanamsa_lahiri":25.2717,"grahas":{"sun":{"sidereal_longitude":95.805656,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":70.85855600000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":3.4694},"mars":{"sidereal_longitude":17.417056000000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":102.88975600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":197.61615600000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":130.382156,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":185.72475599999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":299.6758,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.6758,"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":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488638.770833,"kali_year":5203,"ahargana":1900173.2708,"sun":{"sidereal_longitude":95.0842,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":69.2057,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.1215,"elapsed_within_tithi_degrees":10.1215},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":69.2057,"elapsed_within_degrees":2.5391},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":164.29},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.469,"elongation":25.878},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.469,"opposition_distance":154.122}},"eclipse_window_40days":[{"offset_days":16,"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":"05:38","sunsetLocal":"19:13","solarNoonLocal":"12:25","dayLengthHours":13.584916864865525,"dayLengthDisplay":"13 Hours 35 Mins 06 Secs","nightLengthDisplay":"10 Hours 24 Mins 54 Secs","moonriseLocal":"03:51","moonsetLocal":"17:40","rahuKala":{"name":"Rāhu Kāla","start":"17:31","end":"19:13","startHours":17.51876665750988,"endHours":19.21688126561807,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:25","end":"14:07","startHours":12.424422833185307,"endHours":14.122537441293499,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:49","end":"17:31","startHours":15.820652049401689,"endHours":17.51876665750988,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:15","startHours":8.801778335887835,"endHours":9.25460889805002,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:12","end":"06:34","startHours":6.198002603455276,"endHours":6.560267053185023,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.971592271023123,"endHours":12.877253395347491,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:49","end":"04:44","startHours":3.820642152103809,"endHours":4.726303276428178,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:30","end":"05:38","startHours":4.499887995347086,"endHours":5.631964400752546,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:36","startHours":14.688575643996229,"endHours":15.594236768320597,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:01","end":"19:25","startHours":19.01688126561807,"endHours":19.41688126561807,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:13","end":"19:47","startHours":19.21688126561807,"endHours":19.782919468320802,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:58","end":"20:43","startHours":18.96688126561807,"endHours":20.71688126561807,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.971592271023123,"endHours":24.87725339534749,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:38","end":"07:20","startHours":5.631964400752546,"endHours":7.330079008860737,"quality":"inauspicious"},{"name":"Chala","start":"07:20","end":"09:02","startHours":7.330079008860737,"endHours":9.028193616968927,"quality":"neutral"},{"name":"Labha","start":"09:02","end":"10:44","startHours":9.028193616968927,"endHours":10.726308225077117,"quality":"auspicious"},{"name":"Amṛta","start":"10:44","end":"12:25","startHours":10.726308225077117,"endHours":12.424422833185307,"quality":"auspicious"},{"name":"Kāla","start":"12:25","end":"14:07","startHours":12.424422833185307,"endHours":14.122537441293499,"quality":"inauspicious"},{"name":"Śubha","start":"14:07","end":"15:49","startHours":14.122537441293499,"endHours":15.820652049401689,"quality":"auspicious"},{"name":"Roga","start":"15:49","end":"17:31","startHours":15.820652049401689,"endHours":17.51876665750988,"quality":"inauspicious"},{"name":"Udveg","start":"17:31","end":"19:13","startHours":17.51876665750988,"endHours":19.21688126561807,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:13","end":"20:31","startHours":19.21688126561807,"endHours":20.51876665750988,"quality":"auspicious"},{"name":"Roga","start":"20:31","end":"21:49","startHours":20.51876665750988,"endHours":21.82065204940169,"quality":"inauspicious"},{"name":"Udveg","start":"21:49","end":"23:07","startHours":21.82065204940169,"endHours":23.1225374412935,"quality":"inauspicious"},{"name":"Chala","start":"23:07","end":"00:25","startHours":23.1225374412935,"endHours":24.424422833185307,"quality":"neutral"},{"name":"Labha","start":"00:25","end":"01:44","startHours":24.424422833185307,"endHours":25.72630822507712,"quality":"auspicious"},{"name":"Amṛta","start":"01:44","end":"03:02","startHours":25.72630822507712,"endHours":27.028193616968927,"quality":"auspicious"},{"name":"Kāla","start":"03:02","end":"04:20","startHours":27.028193616968927,"endHours":28.330079008860736,"quality":"inauspicious"},{"name":"Śubha","start":"04:20","end":"05:38","startHours":28.330079008860736,"endHours":29.631964400752544,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:38","end":"06:38","startHours":5.631964400752546,"endHours":6.631964400752546,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:38","end":"07:38","startHours":6.631964400752546,"endHours":7.631964400752546,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:38","end":"08:38","startHours":7.631964400752546,"endHours":8.631964400752546,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:38","end":"09:38","startHours":8.631964400752546,"endHours":9.631964400752546,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:38","end":"10:38","startHours":9.631964400752546,"endHours":10.631964400752546,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:38","end":"11:38","startHours":10.631964400752546,"endHours":11.631964400752546,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:38","end":"12:38","startHours":11.631964400752546,"endHours":12.631964400752546,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:38","end":"13:38","startHours":12.631964400752546,"endHours":13.631964400752546,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:38","end":"14:38","startHours":13.631964400752546,"endHours":14.631964400752546,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:38","end":"15:38","startHours":14.631964400752546,"endHours":15.631964400752546,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:38","end":"16:38","startHours":15.631964400752546,"endHours":16.631964400752544,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:38","end":"17:38","startHours":16.631964400752544,"endHours":17.631964400752544,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:38","end":"18:38","startHours":17.631964400752544,"endHours":18.631964400752544,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:38","end":"19:38","startHours":18.631964400752544,"endHours":19.631964400752544,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:38","end":"20:38","startHours":19.631964400752544,"endHours":20.631964400752544,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:38","end":"21:38","startHours":20.631964400752544,"endHours":21.631964400752544,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:38","end":"22:38","startHours":21.631964400752544,"endHours":22.631964400752544,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:38","end":"23:38","startHours":22.631964400752544,"endHours":23.631964400752544,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:38","end":"00:38","startHours":23.631964400752544,"endHours":24.631964400752544,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:38","end":"01:38","startHours":24.631964400752544,"endHours":25.631964400752544,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:38","end":"02:38","startHours":25.631964400752544,"endHours":26.631964400752544,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:38","end":"03:38","startHours":26.631964400752544,"endHours":27.631964400752544,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:38","end":"04:38","startHours":27.631964400752544,"endHours":28.631964400752544,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:38","end":"05:38","startHours":28.631964400752544,"endHours":29.631964400752544,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":19.91626001496318,"eotMinutes":-6.160169991118456,"ayanamsa":25.2717}},"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 Trayodaśī · 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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 24, 2101 CE · Mathurā · Vidhyamitra","description":"July 24, 2101 CE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 05:38, sūryāsta 19:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2101-07-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2101-07-24","sa":"https://sa.vidhyamitra.com/city/mathura/2101-07-24","hi":"https://hi.vidhyamitra.com/city/mathura/2101-07-24","x-default":"https://vidhyamitra.com/city/mathura/2101-07-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:34:23.616Z","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":"2026-05-14T13:34:23.616Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:34:23.616Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}