{"id":"vidhyamitra:city-day:vrindavan:2101-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2101-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-07-13","date_display":"July 13, 2101 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":2101,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488627.770833,"kali_year":5203,"ahargana":1900162.2708,"sun":{"sidereal_longitude":84.6623,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":292.16,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":207.4977,"elapsed_within_tithi_degrees":3.4977},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":292.16,"elapsed_within_degrees":12.16},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.8223},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":2101,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488627.770833,"ahargana":1900162.2708,"kali_year":5203,"ayanamsa_lahiri":25.2713,"grahas":{"sun":{"sidereal_longitude":85.31077600000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":293.02907600000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-0.6333},"mars":{"sidereal_longitude":9.918075999999985,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":79.73107600000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":197.35807599999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":117.35827599999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":185.48727600000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":300.2587,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":120.2587,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":"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":2101,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488627.770833,"kali_year":5203,"ahargana":1900162.2708,"sun":{"sidereal_longitude":84.6623,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":292.16,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":207.4977,"elapsed_within_tithi_degrees":3.4977},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":292.16,"elapsed_within_degrees":12.16},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.8223},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.633,"elongation":152.502},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.633,"opposition_distance":27.498}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:32","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.750162363333366,"dayLengthDisplay":"13 Hours 45 Mins 01 Secs","nightLengthDisplay":"10 Hours 14 Mins 59 Secs","moonriseLocal":"20:46","moonsetLocal":"07:45","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"14:08","startHours":12.412070480769344,"endHours":14.130840776186016,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:15","end":"08:58","startHours":7.255759594519332,"endHours":8.974529889936003,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:42","end":"12:25","startHours":10.693300185352673,"endHours":12.412070480769344,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.74536051721378,"endHours":9.203699262658226,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.109912730908218,"endHours":6.476583727263774,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.953731735324899,"endHours":12.87040922621379,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:37","startHours":3.703634317324879,"endHours":4.62031180821377,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:23","end":"05:32","startHours":4.391142435491547,"endHours":5.536989299102661,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.703764207991572,"endHours":15.620441698880462,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.08715166243603,"endHours":19.487151662436027,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:52","startHours":19.287151662436028,"endHours":19.860075094241584,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.037151662436028,"endHours":20.787151662436028,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.953731735324897,"endHours":24.87040922621379,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:32","end":"07:15","startHours":5.536989299102661,"endHours":7.255759594519332,"quality":"auspicious"},{"name":"Amṛta","start":"07:15","end":"08:58","startHours":7.255759594519332,"endHours":8.974529889936003,"quality":"auspicious"},{"name":"Kāla","start":"08:58","end":"10:42","startHours":8.974529889936003,"endHours":10.693300185352673,"quality":"inauspicious"},{"name":"Śubha","start":"10:42","end":"12:25","startHours":10.693300185352673,"endHours":12.412070480769344,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"14:08","startHours":12.412070480769344,"endHours":14.130840776186016,"quality":"inauspicious"},{"name":"Udveg","start":"14:08","end":"15:51","startHours":14.130840776186016,"endHours":15.849611071602686,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:34","startHours":15.849611071602686,"endHours":17.568381367019356,"quality":"neutral"},{"name":"Labha","start":"17:34","end":"19:17","startHours":17.568381367019356,"endHours":19.287151662436028,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:17","end":"20:34","startHours":19.287151662436028,"endHours":20.568381367019356,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"21:51","startHours":20.568381367019356,"endHours":21.849611071602688,"quality":"neutral"},{"name":"Labha","start":"21:51","end":"23:08","startHours":21.849611071602688,"endHours":23.130840776186016,"quality":"auspicious"},{"name":"Amṛta","start":"23:08","end":"00:25","startHours":23.130840776186016,"endHours":24.412070480769344,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"01:42","startHours":24.412070480769344,"endHours":25.693300185352673,"quality":"inauspicious"},{"name":"Śubha","start":"01:42","end":"02:58","startHours":25.693300185352673,"endHours":26.974529889936,"quality":"auspicious"},{"name":"Roga","start":"02:58","end":"04:15","startHours":26.974529889936,"endHours":28.255759594519333,"quality":"inauspicious"},{"name":"Udveg","start":"04:15","end":"05:32","startHours":28.255759594519333,"endHours":29.53698929910266,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.536989299102661,"endHours":6.536989299102661,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.536989299102661,"endHours":7.536989299102661,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.536989299102661,"endHours":8.536989299102661,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.536989299102661,"endHours":9.536989299102661,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.536989299102661,"endHours":10.536989299102661,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.536989299102661,"endHours":11.536989299102661,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.536989299102661,"endHours":12.536989299102661,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.536989299102661,"endHours":13.536989299102661,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.536989299102661,"endHours":14.536989299102661,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.536989299102661,"endHours":15.536989299102661,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.536989299102661,"endHours":16.53698929910266,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.53698929910266,"endHours":17.53698929910266,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.53698929910266,"endHours":18.53698929910266,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.53698929910266,"endHours":19.53698929910266,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.53698929910266,"endHours":20.53698929910266,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.53698929910266,"endHours":21.53698929910266,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.53698929910266,"endHours":22.53698929910266,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.53698929910266,"endHours":23.53698929910266,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.53698929910266,"endHours":24.53698929910266,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.53698929910266,"endHours":25.53698929910266,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.53698929910266,"endHours":26.53698929910266,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.53698929910266,"endHours":27.53698929910266,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.53698929910266,"endHours":28.53698929910266,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.53698929910266,"endHours":29.53698929910266,"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvānkṣa","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":21.860313758507264,"eotMinutes":-5.361428846160681,"ayanamsa":25.2713}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"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":"Mithuna (Āni)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Tṛtīyā · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"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":"vrindavan"},"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, 2101 CE · Vṛndāvana · Vidhyamitra","description":"July 13, 2101 CE for Vṛndāvana: Kṛṣṇa Tṛtīyā, sūryodaya 05:32, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2101-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2101-07-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2101-07-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2101-07-13","x-default":"https://vidhyamitra.com/city/vrindavan/2101-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T03:41:10.608Z","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":"2026-05-31T03:41:10.608Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T03:41:10.608Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}