{"id":"vidhyamitra:city-day:varanasi:2101-07-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2101-07-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-07-30","date_display":"July 30, 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":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488644.770833,"kali_year":5203,"ahargana":1900179.2708,"sun":{"sidereal_longitude":100.778,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":146.6545,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.8765,"elapsed_within_tithi_degrees":9.8765},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":146.6545,"elapsed_within_degrees":13.3212},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.4325},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488644.770833,"ahargana":1900179.2708,"kali_year":5203,"ayanamsa_lahiri":25.2719,"grahas":{"sun":{"sidereal_longitude":101.53752600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":145.585826,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false,"latitude":-2.062},"mars":{"sidereal_longitude":21.400825999999995,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":114.34312599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":197.90592600000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":137.43482600000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":185.935426,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":299.3579,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.3579,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2101,"month":7,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488644.770833,"kali_year":5203,"ahargana":1900179.2708,"sun":{"sidereal_longitude":100.778,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":146.6545,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.8765,"elapsed_within_tithi_degrees":9.8765},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":146.6545,"elapsed_within_degrees":13.3212},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.4325},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.062,"elongation":45.877},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.062,"opposition_distance":134.123}},"eclipse_window_40days":[{"offset_days":10,"type":"lunar","occurs":true,"moon_latitude":-0.866,"opposition_distance":2.572}]},"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":"05:24","sunsetLocal":"18:45","solarNoonLocal":"12:04","dayLengthHours":13.350673776379798,"dayLengthDisplay":"13 Hours 21 Mins 02 Secs","nightLengthDisplay":"10 Hours 38 Mins 58 Secs","moonriseLocal":"08:51","moonsetLocal":"21:10","rahuKala":{"name":"Rāhu Kāla","start":"08:44","end":"10:24","startHours":8.732649651184722,"endHours":10.401483873232197,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:44","end":"15:24","startHours":13.739152317327147,"endHours":15.40798653937462,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:24","end":"07:04","startHours":5.3949812070897725,"endHours":7.0638154291372475,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:31","end":"08:57","startHours":8.510138421578393,"endHours":8.955160880791052,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:18","startHours":5.951259281105598,"endHours":6.307277248475725,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:31","startHours":11.62529563606701,"endHours":12.515340554492331,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:37","end":"04:30","startHours":3.6148913702391328,"endHours":4.504936288664453,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:24","startHours":4.282425059058123,"endHours":5.3949812070897725,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:11","startHours":14.29543039134297,"endHours":15.18547530976829,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:33","end":"18:57","startHours":18.54565498346957,"endHours":18.94565498346957,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:45","end":"19:18","startHours":18.74565498346957,"endHours":19.301933057485396,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:30","end":"20:15","startHours":18.49565498346957,"endHours":20.24565498346957,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:31","startHours":23.625295636067012,"endHours":24.51534055449233,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:24","end":"07:04","startHours":5.3949812070897725,"endHours":7.0638154291372475,"quality":"inauspicious"},{"name":"Śubha","start":"07:04","end":"08:44","startHours":7.0638154291372475,"endHours":8.732649651184722,"quality":"auspicious"},{"name":"Roga","start":"08:44","end":"10:24","startHours":8.732649651184722,"endHours":10.401483873232197,"quality":"inauspicious"},{"name":"Udveg","start":"10:24","end":"12:04","startHours":10.401483873232197,"endHours":12.07031809527967,"quality":"inauspicious"},{"name":"Chala","start":"12:04","end":"13:44","startHours":12.07031809527967,"endHours":13.739152317327147,"quality":"neutral"},{"name":"Labha","start":"13:44","end":"15:24","startHours":13.739152317327147,"endHours":15.40798653937462,"quality":"auspicious"},{"name":"Amṛta","start":"15:24","end":"17:05","startHours":15.40798653937462,"endHours":17.0768207614221,"quality":"auspicious"},{"name":"Kāla","start":"17:05","end":"18:45","startHours":17.0768207614221,"endHours":18.74565498346957,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:45","end":"20:05","startHours":18.74565498346957,"endHours":20.076820761422095,"quality":"auspicious"},{"name":"Amṛta","start":"20:05","end":"21:24","startHours":20.076820761422095,"endHours":21.407986539374622,"quality":"auspicious"},{"name":"Kāla","start":"21:24","end":"22:44","startHours":21.407986539374622,"endHours":22.739152317327147,"quality":"inauspicious"},{"name":"Śubha","start":"22:44","end":"00:04","startHours":22.739152317327147,"endHours":24.07031809527967,"quality":"auspicious"},{"name":"Roga","start":"00:04","end":"01:24","startHours":24.07031809527967,"endHours":25.401483873232195,"quality":"inauspicious"},{"name":"Udveg","start":"01:24","end":"02:44","startHours":25.401483873232195,"endHours":26.732649651184722,"quality":"inauspicious"},{"name":"Chala","start":"02:44","end":"04:04","startHours":26.732649651184722,"endHours":28.063815429137247,"quality":"neutral"},{"name":"Labha","start":"04:04","end":"05:24","startHours":28.063815429137247,"endHours":29.39498120708977,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.3949812070897725,"endHours":6.3949812070897725,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.3949812070897725,"endHours":7.3949812070897725,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.3949812070897725,"endHours":8.394981207089772,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.394981207089772,"endHours":9.394981207089772,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.394981207089772,"endHours":10.394981207089772,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.394981207089772,"endHours":11.394981207089772,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.394981207089772,"endHours":12.394981207089772,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.394981207089772,"endHours":13.394981207089772,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.394981207089772,"endHours":14.394981207089772,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.394981207089772,"endHours":15.394981207089772,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.394981207089772,"endHours":16.39498120708977,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.39498120708977,"endHours":17.39498120708977,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.39498120708977,"endHours":18.39498120708977,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.39498120708977,"endHours":19.39498120708977,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.39498120708977,"endHours":20.39498120708977,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.39498120708977,"endHours":21.39498120708977,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.39498120708977,"endHours":22.39498120708977,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.39498120708977,"endHours":23.39498120708977,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.39498120708977,"endHours":24.39498120708977,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.39498120708977,"endHours":25.39498120708977,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.39498120708977,"endHours":26.39498120708977,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.39498120708977,"endHours":27.39498120708977,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.39498120708977,"endHours":28.39498120708977,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.39498120708977,"endHours":29.39498120708977,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.56846739428501,"eotMinutes":-6.1146857167802535,"ayanamsa":25.2719}},"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 Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Caturthī · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 30, 2101 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"July 30, 2101 CE for Vārāṇasī (Kāśī): Śukla Caturthī, sūryodaya 05:24, sūryāsta 18:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2101-07-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2101-07-30","sa":"https://sa.vidhyamitra.com/city/varanasi/2101-07-30","hi":"https://hi.vidhyamitra.com/city/varanasi/2101-07-30","x-default":"https://vidhyamitra.com/city/varanasi/2101-07-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:48:06.970Z","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":"2026-05-14T14:48:06.970Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:48:06.970Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}