{"id":"vidhyamitra:city-day:varanasi:2159-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2159-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-07-13","date_display":"July 13, 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":"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":2159,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509811.770833,"kali_year":5261,"ahargana":1921346.2708,"sun":{"sidereal_longitude":83.7081,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":53.2895,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.5815,"elapsed_within_tithi_degrees":5.5815},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":53.2895,"elapsed_within_degrees":13.2895},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":136.9976},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509811.770833,"ahargana":1921346.2708,"kali_year":5261,"ayanamsa_lahiri":26.0815,"grahas":{"sun":{"sidereal_longitude":84.48939100000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":52.31319100000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":1.8673},"mars":{"sidereal_longitude":236.44089099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":61.452991,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":159.126891,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":71.167891,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":174.42779099999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":257.8284,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":77.8284,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509811.770833,"kali_year":5261,"ahargana":1921346.2708,"sun":{"sidereal_longitude":83.7081,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":53.2895,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.5815,"elapsed_within_tithi_degrees":5.5815},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":53.2895,"elapsed_within_degrees":13.2895},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":136.9976},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.867,"elongation":30.419},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.867,"opposition_distance":149.581}},"eclipse_window_40days":[]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:16","sunsetLocal":"18:51","solarNoonLocal":"12:03","dayLengthHours":13.59396645334585,"dayLengthDisplay":"13 Hours 35 Mins 38 Secs","nightLengthDisplay":"10 Hours 24 Mins 22 Secs","moonriseLocal":"03:06","moonsetLocal":"16:44","rahuKala":{"name":"Rāhu Kāla","start":"10:22","end":"12:03","startHours":10.358518007434448,"endHours":12.057763814102678,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:27","end":"17:09","startHours":15.45625542743914,"endHours":17.155501234107373,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:58","end":"08:40","startHours":6.9600263940979845,"endHours":8.659272200766216,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:53","startHours":8.432706093210452,"endHours":8.88583830832198,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:50","end":"06:11","startHours":5.827195856319164,"endHours":6.189701628408386,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:31","startHours":11.60463159899115,"endHours":12.510896029214207,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:21","startHours":3.44825172698364,"endHours":4.354516157206697,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:08","end":"05:16","startHours":4.1279500496509325,"endHours":5.260780587429753,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:14","startHours":14.32342488966032,"endHours":15.229689319883377,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:39","end":"19:03","startHours":18.654747040775604,"endHours":19.054747040775602,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:51","end":"19:25","startHours":18.854747040775603,"endHours":19.421162309665014,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:36","end":"20:21","startHours":18.604747040775603,"endHours":20.354747040775603,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:31","startHours":23.60463159899115,"endHours":24.510896029214205,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:16","end":"06:58","startHours":5.260780587429753,"endHours":6.9600263940979845,"quality":"neutral"},{"name":"Labha","start":"06:58","end":"08:40","startHours":6.9600263940979845,"endHours":8.659272200766216,"quality":"auspicious"},{"name":"Amṛta","start":"08:40","end":"10:22","startHours":8.659272200766216,"endHours":10.358518007434448,"quality":"auspicious"},{"name":"Kāla","start":"10:22","end":"12:03","startHours":10.358518007434448,"endHours":12.057763814102678,"quality":"inauspicious"},{"name":"Śubha","start":"12:03","end":"13:45","startHours":12.057763814102678,"endHours":13.757009620770908,"quality":"auspicious"},{"name":"Roga","start":"13:45","end":"15:27","startHours":13.757009620770908,"endHours":15.45625542743914,"quality":"inauspicious"},{"name":"Udveg","start":"15:27","end":"17:09","startHours":15.45625542743914,"endHours":17.155501234107373,"quality":"inauspicious"},{"name":"Chala","start":"17:09","end":"18:51","startHours":17.155501234107373,"endHours":18.854747040775603,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:51","end":"20:09","startHours":18.854747040775603,"endHours":20.155501234107373,"quality":"inauspicious"},{"name":"Udveg","start":"20:09","end":"21:27","startHours":20.155501234107373,"endHours":21.45625542743914,"quality":"inauspicious"},{"name":"Chala","start":"21:27","end":"22:45","startHours":21.45625542743914,"endHours":22.75700962077091,"quality":"neutral"},{"name":"Labha","start":"22:45","end":"00:03","startHours":22.75700962077091,"endHours":24.057763814102678,"quality":"auspicious"},{"name":"Amṛta","start":"00:03","end":"01:22","startHours":24.057763814102678,"endHours":25.358518007434448,"quality":"auspicious"},{"name":"Kāla","start":"01:22","end":"02:40","startHours":25.358518007434448,"endHours":26.659272200766218,"quality":"inauspicious"},{"name":"Śubha","start":"02:40","end":"03:58","startHours":26.659272200766218,"endHours":27.960026394097984,"quality":"auspicious"},{"name":"Roga","start":"03:58","end":"05:16","startHours":27.960026394097984,"endHours":29.260780587429753,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.260780587429753,"endHours":6.260780587429753,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.260780587429753,"endHours":7.260780587429753,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.260780587429753,"endHours":8.260780587429753,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.260780587429753,"endHours":9.260780587429753,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.260780587429753,"endHours":10.260780587429753,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.260780587429753,"endHours":11.260780587429753,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.260780587429753,"endHours":12.260780587429753,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.260780587429753,"endHours":13.260780587429753,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.260780587429753,"endHours":14.260780587429753,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.260780587429753,"endHours":15.260780587429753,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.260780587429753,"endHours":16.260780587429753,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.260780587429753,"endHours":17.260780587429753,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.260780587429753,"endHours":18.260780587429753,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.260780587429753,"endHours":19.260780587429753,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.260780587429753,"endHours":20.260780587429753,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.260780587429753,"endHours":21.260780587429753,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.260780587429753,"endHours":22.260780587429753,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.260780587429753,"endHours":23.260780587429753,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.260780587429753,"endHours":24.260780587429753,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.260780587429753,"endHours":25.260780587429753,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.260780587429753,"endHours":26.260780587429753,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.260780587429753,"endHours":27.260780587429753,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.260780587429753,"endHours":28.260780587429753,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.260780587429753,"endHours":29.260780587429753,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mātaṇga","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":21.861998410351838,"eotMinutes":-5.361428846160681,"ayanamsa":26.0815}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"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 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"varanasi"},"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, 2159 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"July 13, 2159 CE for Vārāṇasī (Kāśī): Kṛṣṇa Trayodaśī, sūryodaya 05:16, sūryāsta 18:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2159-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2159-07-13","sa":"https://sa.vidhyamitra.com/city/varanasi/2159-07-13","hi":"https://hi.vidhyamitra.com/city/varanasi/2159-07-13","x-default":"https://vidhyamitra.com/city/varanasi/2159-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T01:44:11.793Z","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":"2026-05-31T01:44:11.793Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T01:44:11.793Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}