{"id":"vidhyamitra:city-day:mathura:1977-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1977-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1977-07-13","date_display":"July 13, 1977 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":1977,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2443337.770833,"kali_year":5079,"ahargana":1854872.2708,"sun":{"sidereal_longitude":86.6373,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":48.4177,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":321.7804,"elapsed_within_tithi_degrees":9.7804},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":48.4177,"elapsed_within_degrees":8.4177},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.055},"karana":{"half_tithi_index":53,"name":"Taitila"},"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":1977,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2443337.770833,"ahargana":1854872.2708,"kali_year":5079,"ayanamsa_lahiri":23.5391,"grahas":{"sun":{"sidereal_longitude":87.000587,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":50.09468700000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":-3.3676},"mars":{"sidereal_longitude":33.58158700000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":101.64918699999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":58.731487000000016,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":43.619786999999974,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":112.87298700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":179.9408,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":359.9408,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":"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":1977,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2443337.770833,"kali_year":5079,"ahargana":1854872.2708,"sun":{"sidereal_longitude":86.6373,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":48.4177,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":321.7804,"elapsed_within_tithi_degrees":9.7804},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":48.4177,"elapsed_within_degrees":8.4177},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.055},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.368,"elongation":38.22},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.368,"opposition_distance":141.78}},"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":"05:32","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.745534091144059,"dayLengthDisplay":"13 Hours 44 Mins 44 Secs","nightLengthDisplay":"10 Hours 15 Mins 16 Secs","moonriseLocal":"03:04","moonsetLocal":"16:50","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"14:08","startHours":12.411110480769345,"endHours":14.129302242162353,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:15","end":"08:58","startHours":7.256535196590324,"endHours":8.974726957983332,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:42","end":"12:25","startHours":10.692918719376339,"endHours":12.411110480769345,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.74563472313093,"endHours":9.203819192835732,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.111074022328319,"endHours":6.477621598092161,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.952926011064543,"endHours":12.869294950474147,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:37","startHours":3.7056055563781087,"endHours":4.621974495787713,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:32","startHours":4.392882260935312,"endHours":5.538343435197317,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.702032829293355,"endHours":15.61840176870296,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.083877526341375,"endHours":19.483877526341374,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.283877526341374,"endHours":19.856608113472376,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.033877526341374,"endHours":20.783877526341374,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.952926011064545,"endHours":24.869294950474146,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:32","end":"07:15","startHours":5.538343435197317,"endHours":7.256535196590324,"quality":"auspicious"},{"name":"Amṛta","start":"07:15","end":"08:58","startHours":7.256535196590324,"endHours":8.974726957983332,"quality":"auspicious"},{"name":"Kāla","start":"08:58","end":"10:42","startHours":8.974726957983332,"endHours":10.692918719376339,"quality":"inauspicious"},{"name":"Śubha","start":"10:42","end":"12:25","startHours":10.692918719376339,"endHours":12.411110480769345,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"14:08","startHours":12.411110480769345,"endHours":14.129302242162353,"quality":"inauspicious"},{"name":"Udveg","start":"14:08","end":"15:51","startHours":14.129302242162353,"endHours":15.847494003555362,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:34","startHours":15.847494003555362,"endHours":17.565685764948366,"quality":"neutral"},{"name":"Labha","start":"17:34","end":"19:17","startHours":17.565685764948366,"endHours":19.283877526341374,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:17","end":"20:34","startHours":19.283877526341374,"endHours":20.565685764948366,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"21:51","startHours":20.565685764948366,"endHours":21.84749400355536,"quality":"neutral"},{"name":"Labha","start":"21:51","end":"23:08","startHours":21.84749400355536,"endHours":23.129302242162353,"quality":"auspicious"},{"name":"Amṛta","start":"23:08","end":"00:25","startHours":23.129302242162353,"endHours":24.411110480769345,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"01:42","startHours":24.411110480769345,"endHours":25.692918719376337,"quality":"inauspicious"},{"name":"Śubha","start":"01:42","end":"02:58","startHours":25.692918719376337,"endHours":26.97472695798333,"quality":"auspicious"},{"name":"Roga","start":"02:58","end":"04:15","startHours":26.97472695798333,"endHours":28.256535196590324,"quality":"inauspicious"},{"name":"Udveg","start":"04:15","end":"05:32","startHours":28.256535196590324,"endHours":29.538343435197316,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.538343435197317,"endHours":6.538343435197317,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.538343435197317,"endHours":7.538343435197317,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.538343435197317,"endHours":8.538343435197316,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.538343435197316,"endHours":9.538343435197316,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.538343435197316,"endHours":10.538343435197316,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.538343435197316,"endHours":11.538343435197316,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.538343435197316,"endHours":12.538343435197316,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.538343435197316,"endHours":13.538343435197316,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.538343435197316,"endHours":14.538343435197316,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.538343435197316,"endHours":15.538343435197316,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.538343435197316,"endHours":16.538343435197316,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.538343435197316,"endHours":17.538343435197316,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.538343435197316,"endHours":18.538343435197316,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.538343435197316,"endHours":19.538343435197316,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.538343435197316,"endHours":20.538343435197316,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.538343435197316,"endHours":21.538343435197316,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.538343435197316,"endHours":22.538343435197316,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.538343435197316,"endHours":23.538343435197316,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.538343435197316,"endHours":24.538343435197316,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.538343435197316,"endHours":25.538343435197316,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.538343435197316,"endHours":26.538343435197316,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.538343435197316,"endHours":27.538343435197316,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.538343435197316,"endHours":28.538343435197316,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.538343435197316,"endHours":29.538343435197316,"planetary_lord":"Sun"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.866693738606376,"eotMinutes":-5.361428846160681,"ayanamsa":23.5391}},"calendars":{"vikram_samvat":2034,"vikram_samvatsara":"Pramoda","saka_samvat":1899,"saka_samvatsara":"Piṅgala","bengali_samvat":1384,"malayalam_era":1153,"nanakshahi_year":508,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha (Adhika) Kṛṣṇa Dvādaśī · Vikram 2034 Pramoda · Śaka 1899 Piṅgala"},"festivals":[],"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 13, 1977 CE · Mathurā · Vidhyamitra","description":"July 13, 1977 CE for Mathurā: Kṛṣṇa Dvādaśī, sūryodaya 05:32, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1977-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1977-07-13","sa":"https://sa.vidhyamitra.com/city/mathura/1977-07-13","hi":"https://hi.vidhyamitra.com/city/mathura/1977-07-13","x-default":"https://vidhyamitra.com/city/mathura/1977-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-27T18:06:44.337Z","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":"2026-08-27T18:06:44.337Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-27T18:06:44.337Z","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"}}}