{"id":"vidhyamitra:city-day:mathura:2054-07-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2054-07-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2054-07-26","date_display":"July 26, 2054 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2054,"month":7,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2471474.770833,"kali_year":5156,"ahargana":1883009.2708,"sun":{"sidereal_longitude":98.0834,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":351.093,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":253.0096,"elapsed_within_tithi_degrees":1.0096},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.093,"elapsed_within_degrees":4.4264},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.1764},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"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":2054,"month":7,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2471474.770833,"ahargana":1883009.2708,"kali_year":5156,"ayanamsa_lahiri":24.6152,"grahas":{"sun":{"sidereal_longitude":98.71104700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"moon":{"sidereal_longitude":347.463547,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false,"latitude":-3.0086},"mars":{"sidereal_longitude":23.67204700000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":92.18734699999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":211.42384700000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":76.88534700000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":331.4969470000001,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":129.1072,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":309.1072,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2054,"month":7,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2471474.770833,"kali_year":5156,"ahargana":1883009.2708,"sun":{"sidereal_longitude":98.0834,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":351.093,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":253.0096,"elapsed_within_tithi_degrees":1.0096},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.093,"elapsed_within_degrees":4.4264},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.1764},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.009,"elongation":106.99},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.009,"opposition_distance":73.01}},"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":"05:39","sunsetLocal":"19:12","solarNoonLocal":"12:25","dayLengthHours":13.544038837572103,"dayLengthDisplay":"13 Hours 32 Mins 39 Secs","nightLengthDisplay":"10 Hours 27 Mins 21 Secs","moonriseLocal":"22:48","moonsetLocal":"11:13","rahuKala":{"name":"Rāhu Kāla","start":"17:30","end":"19:12","startHours":17.503855423150217,"endHours":19.196860277846728,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:25","end":"14:07","startHours":12.424840859060676,"endHours":14.117845713757191,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:49","end":"17:30","startHours":15.810850568453702,"endHours":17.503855423150217,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:16","startHours":8.81309716904145,"endHours":9.264565130293853,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:13","end":"06:35","startHours":6.21715639184013,"endHours":6.578330760842053,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.973372897808273,"endHours":12.87630882031308,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:51","end":"04:45","startHours":3.8469495952650123,"endHours":4.749885517769819,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:31","end":"05:39","startHours":4.524151537143617,"endHours":5.652821440274626,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:35","startHours":14.682180665322694,"endHours":15.5851165878275,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:00","end":"19:24","startHours":18.99686027784673,"endHours":19.396860277846727,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:12","end":"19:46","startHours":19.196860277846728,"endHours":19.76119522941223,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:57","end":"20:42","startHours":18.946860277846728,"endHours":20.696860277846728,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.97337289780827,"endHours":24.87630882031308,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:39","end":"07:21","startHours":5.652821440274626,"endHours":7.345826294971139,"quality":"inauspicious"},{"name":"Chala","start":"07:21","end":"09:02","startHours":7.345826294971139,"endHours":9.03883114966765,"quality":"neutral"},{"name":"Labha","start":"09:02","end":"10:44","startHours":9.03883114966765,"endHours":10.731836004364165,"quality":"auspicious"},{"name":"Amṛta","start":"10:44","end":"12:25","startHours":10.731836004364165,"endHours":12.424840859060676,"quality":"auspicious"},{"name":"Kāla","start":"12:25","end":"14:07","startHours":12.424840859060676,"endHours":14.117845713757191,"quality":"inauspicious"},{"name":"Śubha","start":"14:07","end":"15:49","startHours":14.117845713757191,"endHours":15.810850568453702,"quality":"auspicious"},{"name":"Roga","start":"15:49","end":"17:30","startHours":15.810850568453702,"endHours":17.503855423150217,"quality":"inauspicious"},{"name":"Udveg","start":"17:30","end":"19:12","startHours":17.503855423150217,"endHours":19.196860277846728,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:12","end":"20:30","startHours":19.196860277846728,"endHours":20.503855423150213,"quality":"auspicious"},{"name":"Roga","start":"20:30","end":"21:49","startHours":20.503855423150213,"endHours":21.810850568453702,"quality":"inauspicious"},{"name":"Udveg","start":"21:49","end":"23:07","startHours":21.810850568453702,"endHours":23.11784571375719,"quality":"inauspicious"},{"name":"Chala","start":"23:07","end":"00:25","startHours":23.11784571375719,"endHours":24.424840859060676,"quality":"neutral"},{"name":"Labha","start":"00:25","end":"01:44","startHours":24.424840859060676,"endHours":25.731836004364162,"quality":"auspicious"},{"name":"Amṛta","start":"01:44","end":"03:02","startHours":25.731836004364162,"endHours":27.03883114966765,"quality":"auspicious"},{"name":"Kāla","start":"03:02","end":"04:21","startHours":27.03883114966765,"endHours":28.34582629497114,"quality":"inauspicious"},{"name":"Śubha","start":"04:21","end":"05:39","startHours":28.34582629497114,"endHours":29.652821440274625,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.652821440274626,"endHours":6.652821440274626,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.652821440274626,"endHours":7.652821440274626,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.652821440274626,"endHours":8.652821440274625,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.652821440274625,"endHours":9.652821440274625,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.652821440274625,"endHours":10.652821440274625,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.652821440274625,"endHours":11.652821440274625,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.652821440274625,"endHours":12.652821440274625,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.652821440274625,"endHours":13.652821440274625,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.652821440274625,"endHours":14.652821440274625,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.652821440274625,"endHours":15.652821440274625,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.652821440274625,"endHours":16.652821440274625,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.652821440274625,"endHours":17.652821440274625,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.652821440274625,"endHours":18.652821440274625,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.652821440274625,"endHours":19.652821440274625,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.652821440274625,"endHours":20.652821440274625,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.652821440274625,"endHours":21.652821440274625,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.652821440274625,"endHours":22.652821440274625,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.652821440274625,"endHours":23.652821440274625,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.652821440274625,"endHours":24.652821440274625,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.652821440274625,"endHours":25.652821440274625,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.652821440274625,"endHours":26.652821440274625,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.652821440274625,"endHours":27.652821440274625,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.652821440274625,"endHours":28.652821440274625,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.652821440274625,"endHours":29.652821440274625,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.410115537413162,"eotMinutes":-6.185251543640582,"ayanamsa":24.6152}},"calendars":{"vikram_samvat":2111,"vikram_samvatsara":"Sarvajit","saka_samvat":1976,"saka_samvatsara":"Bhāva","bengali_samvat":1461,"malayalam_era":1230,"nanakshahi_year":585,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Saptamī · Vikram 2111 Sarvajit · Śaka 1976 Bhāva"},"festivals":[],"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 26, 2054 CE · Mathurā · Vidhyamitra","description":"July 26, 2054 CE for Mathurā: Kṛṣṇa Saptamī, sūryodaya 05:39, sūryāsta 19:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2054-07-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2054-07-26","sa":"https://sa.vidhyamitra.com/city/mathura/2054-07-26","hi":"https://hi.vidhyamitra.com/city/mathura/2054-07-26","x-default":"https://vidhyamitra.com/city/mathura/2054-07-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T12:53:39.347Z","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":"2026-08-10T12:53:39.347Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T12:53:39.347Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}