{"id":"vidhyamitra:city-day:mathura:2159-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2159-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-08-15","date_display":"August 15, 2159 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":2159,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509844.770833,"kali_year":5261,"ahargana":1921379.2708,"sun":{"sidereal_longitude":115.0491,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":134.9027,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":19.8536,"elapsed_within_tithi_degrees":7.8536},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.9027,"elapsed_within_degrees":1.5694},"yoga":{"number":19,"name":"Parigha","sum_longitude":249.9518},"karana":{"half_tithi_index":3,"name":"Kaulava"},"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":2159,"month":8,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509844.770833,"ahargana":1921379.2708,"kali_year":5261,"ayanamsa_lahiri":26.0827,"grahas":{"sun":{"sidereal_longitude":116.03512999999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":135.22643,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":-3.849},"mars":{"sidereal_longitude":237.21323000000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":123.85513000000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":163.91472999999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":72.76283000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":176.23433,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":256.0799,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":76.0799,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509844.770833,"kali_year":5261,"ahargana":1921379.2708,"sun":{"sidereal_longitude":115.0491,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":134.9027,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":19.8536,"elapsed_within_tithi_degrees":7.8536},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.9027,"elapsed_within_degrees":1.5694},"yoga":{"number":19,"name":"Parigha","sum_longitude":249.9518},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.849,"elongation":19.854},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.849,"opposition_distance":160.146}},"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":"05:49","sunsetLocal":"18:58","solarNoonLocal":"12:23","dayLengthHours":13.134518425884067,"dayLengthDisplay":"13 Hours 08 Mins 04 Secs","nightLengthDisplay":"10 Hours 51 Mins 56 Secs","moonriseLocal":"07:22","moonsetLocal":"19:58","rahuKala":{"name":"Rāhu Kāla","start":"12:23","end":"14:02","startHours":12.391365128777142,"endHours":14.03317993201265,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:28","end":"09:06","startHours":7.465920719070616,"endHours":9.107735522306125,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:45","end":"12:23","startHours":10.749550325541634,"endHours":12.391365128777142,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:20","startHours":8.888826881874724,"endHours":9.326644162737526,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.37137751691361,"endHours":6.721631341603852,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:50","startHours":11.95354784791434,"endHours":12.829182409639944,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:04","end":"04:57","startHours":4.072836792383899,"endHours":4.948471354109503,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:49","startHours":4.729562713678102,"endHours":5.824105915835108,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:27","startHours":14.580451533091153,"endHours":15.456086094816758,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.758624341719177,"endHours":19.158624341719175,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:30","startHours":18.958624341719176,"endHours":19.50589594279768,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.708624341719176,"endHours":20.458624341719176,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:50","startHours":23.95354784791434,"endHours":24.829182409639944,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:49","end":"07:28","startHours":5.824105915835108,"endHours":7.465920719070616,"quality":"auspicious"},{"name":"Amṛta","start":"07:28","end":"09:06","startHours":7.465920719070616,"endHours":9.107735522306125,"quality":"auspicious"},{"name":"Kāla","start":"09:06","end":"10:45","startHours":9.107735522306125,"endHours":10.749550325541634,"quality":"inauspicious"},{"name":"Śubha","start":"10:45","end":"12:23","startHours":10.749550325541634,"endHours":12.391365128777142,"quality":"auspicious"},{"name":"Roga","start":"12:23","end":"14:02","startHours":12.391365128777142,"endHours":14.03317993201265,"quality":"inauspicious"},{"name":"Udveg","start":"14:02","end":"15:40","startHours":14.03317993201265,"endHours":15.67499473524816,"quality":"inauspicious"},{"name":"Chala","start":"15:40","end":"17:19","startHours":15.67499473524816,"endHours":17.316809538483668,"quality":"neutral"},{"name":"Labha","start":"17:19","end":"18:58","startHours":17.316809538483668,"endHours":18.958624341719176,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:58","end":"20:19","startHours":18.958624341719176,"endHours":20.316809538483668,"quality":"inauspicious"},{"name":"Chala","start":"20:19","end":"21:40","startHours":20.316809538483668,"endHours":21.67499473524816,"quality":"neutral"},{"name":"Labha","start":"21:40","end":"23:02","startHours":21.67499473524816,"endHours":23.03317993201265,"quality":"auspicious"},{"name":"Amṛta","start":"23:02","end":"00:23","startHours":23.03317993201265,"endHours":24.391365128777142,"quality":"auspicious"},{"name":"Kāla","start":"00:23","end":"01:45","startHours":24.391365128777142,"endHours":25.749550325541634,"quality":"inauspicious"},{"name":"Śubha","start":"01:45","end":"03:06","startHours":25.749550325541634,"endHours":27.107735522306125,"quality":"auspicious"},{"name":"Roga","start":"03:06","end":"04:28","startHours":27.107735522306125,"endHours":28.465920719070617,"quality":"inauspicious"},{"name":"Udveg","start":"04:28","end":"05:49","startHours":28.465920719070617,"endHours":29.82410591583511,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.824105915835108,"endHours":6.824105915835108,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.824105915835108,"endHours":7.824105915835108,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.824105915835108,"endHours":8.824105915835109,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.824105915835109,"endHours":9.824105915835109,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.824105915835109,"endHours":10.824105915835109,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.824105915835109,"endHours":11.824105915835109,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.824105915835109,"endHours":12.824105915835109,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.824105915835109,"endHours":13.824105915835109,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.824105915835109,"endHours":14.824105915835109,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.824105915835109,"endHours":15.824105915835109,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.824105915835109,"endHours":16.82410591583511,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.82410591583511,"endHours":17.82410591583511,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.82410591583511,"endHours":18.82410591583511,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.82410591583511,"endHours":19.82410591583511,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.82410591583511,"endHours":20.82410591583511,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.82410591583511,"endHours":21.82410591583511,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.82410591583511,"endHours":22.82410591583511,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.82410591583511,"endHours":23.82410591583511,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.82410591583511,"endHours":24.82410591583511,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.82410591583511,"endHours":25.82410591583511,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.82410591583511,"endHours":26.82410591583511,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.82410591583511,"endHours":27.82410591583511,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.82410591583511,"endHours":28.82410591583511,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.82410591583511,"endHours":29.82410591583511,"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.135948863762165,"eotMinutes":-4.176707726628523,"ayanamsa":26.0827}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","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 Śukla Dvitīyā · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"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 August 15, 2159 CE · Mathurā · Vidhyamitra","description":"August 15, 2159 CE for Mathurā: Śukla Dvitīyā, sūryodaya 05:49, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2159-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2159-08-15","sa":"https://sa.vidhyamitra.com/city/mathura/2159-08-15","hi":"https://hi.vidhyamitra.com/city/mathura/2159-08-15","x-default":"https://vidhyamitra.com/city/mathura/2159-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-04T02:56:53.791Z","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":"2026-09-04T02:56:53.791Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-04T02:56:53.791Z","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"}}}