{"id":"vidhyamitra:city-day:mathura:2197-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2197-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2197-07-13","date_display":"July 13, 2197 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":2197,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2523691.770833,"kali_year":5299,"ahargana":1935226.2708,"sun":{"sidereal_longitude":83.8664,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":56.7077,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.8413,"elapsed_within_tithi_degrees":8.8413},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":56.7077,"elapsed_within_degrees":3.3744},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.5741},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2197,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2523691.770833,"ahargana":1935226.2708,"kali_year":5299,"ayanamsa_lahiri":26.6123,"grahas":{"sun":{"sidereal_longitude":84.741173,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":58.122473000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":0.4458},"mars":{"sidereal_longitude":20.73987299999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":83.24647299999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":231.710873,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":121.24597299999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":276.929973,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":242.3992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":62.3992,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"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":2197,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2523691.770833,"kali_year":5299,"ahargana":1935226.2708,"sun":{"sidereal_longitude":83.8664,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":56.7077,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.8413,"elapsed_within_tithi_degrees":8.8413},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":56.7077,"elapsed_within_degrees":3.3744},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.5741},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.446,"elongation":27.159},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.446,"opposition_distance":152.841}},"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":"05:33","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.735116234938445,"dayLengthDisplay":"13 Hours 44 Mins 06 Secs","nightLengthDisplay":"10 Hours 15 Mins 54 Secs","moonriseLocal":"03:43","moonsetLocal":"17:33","rahuKala":{"name":"Rāhu Kāla","start":"14:08","end":"15:51","startHours":14.128000010136649,"endHours":15.844889539503956,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:33","end":"07:16","startHours":5.543552363300122,"endHours":7.260441892667427,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:59","end":"10:42","startHours":8.977331422034734,"endHours":10.694220951402038,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.748412818119093,"endHours":9.206250025950373,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.115848873089224,"endHours":6.482118639354249,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.953273272938064,"endHours":12.868947688600626,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:38","startHours":3.7122035319749953,"endHours":4.627877947637558,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:33","startHours":4.398959343721918,"endHours":5.543552363300122,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.70029651992575,"endHours":15.615970935588313,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.07866859823857,"endHours":19.478668598238567,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.278668598238568,"endHours":19.85096510802767,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.028668598238568,"endHours":20.778668598238568,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.953273272938063,"endHours":24.868947688600628,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:33","end":"07:16","startHours":5.543552363300122,"endHours":7.260441892667427,"quality":"auspicious"},{"name":"Roga","start":"07:16","end":"08:59","startHours":7.260441892667427,"endHours":8.977331422034734,"quality":"inauspicious"},{"name":"Udveg","start":"08:59","end":"10:42","startHours":8.977331422034734,"endHours":10.694220951402038,"quality":"inauspicious"},{"name":"Chala","start":"10:42","end":"12:25","startHours":10.694220951402038,"endHours":12.411110480769345,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"14:08","startHours":12.411110480769345,"endHours":14.128000010136649,"quality":"auspicious"},{"name":"Amṛta","start":"14:08","end":"15:51","startHours":14.128000010136649,"endHours":15.844889539503956,"quality":"auspicious"},{"name":"Kāla","start":"15:51","end":"17:34","startHours":15.844889539503956,"endHours":17.56177906887126,"quality":"inauspicious"},{"name":"Śubha","start":"17:34","end":"19:17","startHours":17.56177906887126,"endHours":19.278668598238568,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:17","end":"20:34","startHours":19.278668598238568,"endHours":20.56177906887126,"quality":"auspicious"},{"name":"Kāla","start":"20:34","end":"21:51","startHours":20.56177906887126,"endHours":21.844889539503956,"quality":"inauspicious"},{"name":"Śubha","start":"21:51","end":"23:08","startHours":21.844889539503956,"endHours":23.128000010136653,"quality":"auspicious"},{"name":"Roga","start":"23:08","end":"00:25","startHours":23.128000010136653,"endHours":24.411110480769345,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"01:42","startHours":24.411110480769345,"endHours":25.694220951402038,"quality":"inauspicious"},{"name":"Chala","start":"01:42","end":"02:59","startHours":25.694220951402038,"endHours":26.977331422034734,"quality":"neutral"},{"name":"Labha","start":"02:59","end":"04:16","startHours":26.977331422034734,"endHours":28.26044189266743,"quality":"auspicious"},{"name":"Amṛta","start":"04:16","end":"05:33","startHours":28.26044189266743,"endHours":29.543552363300122,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.543552363300122,"endHours":6.543552363300122,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.543552363300122,"endHours":7.543552363300122,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.543552363300122,"endHours":8.543552363300122,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.543552363300122,"endHours":9.543552363300122,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.543552363300122,"endHours":10.543552363300122,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.543552363300122,"endHours":11.543552363300122,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.543552363300122,"endHours":12.543552363300122,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.543552363300122,"endHours":13.543552363300122,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.543552363300122,"endHours":14.543552363300122,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.543552363300122,"endHours":15.543552363300122,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.543552363300122,"endHours":16.543552363300122,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.543552363300122,"endHours":17.543552363300122,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.543552363300122,"endHours":18.543552363300122,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.543552363300122,"endHours":19.543552363300122,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.543552363300122,"endHours":20.543552363300122,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.543552363300122,"endHours":21.543552363300122,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.543552363300122,"endHours":22.543552363300122,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.543552363300122,"endHours":23.543552363300122,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.543552363300122,"endHours":24.543552363300122,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.543552363300122,"endHours":25.543552363300122,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.543552363300122,"endHours":26.543552363300122,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.543552363300122,"endHours":27.543552363300122,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.543552363300122,"endHours":28.543552363300122,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.543552363300122,"endHours":29.543552363300122,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.742067772831163,"eotMinutes":-5.361428846160681,"ayanamsa":26.6123}},"calendars":{"vikram_samvat":2254,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":2119,"saka_samvatsara":"Hemalambī","bengali_samvat":1604,"malayalam_era":1373,"nanakshahi_year":728,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Trayodaśī · Vikram 2254 Sādhāraṇa · Śaka 2119 Hemalambī"},"festivals":[{"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Guruvāra (Thursday) — 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 13, 2197 CE · Mathurā · Vidhyamitra","description":"July 13, 2197 CE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 05:33, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2197-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2197-07-13","sa":"https://sa.vidhyamitra.com/city/mathura/2197-07-13","hi":"https://hi.vidhyamitra.com/city/mathura/2197-07-13","x-default":"https://vidhyamitra.com/city/mathura/2197-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T10:01:58.462Z","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":"2026-09-06T10:01:58.462Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T10:01:58.462Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}