{"id":"vidhyamitra:city-day:varanasi:2026-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2026-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-07-13","date_display":"July 13, 2026 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":2026,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461234.770833,"kali_year":5128,"ahargana":1872769.2708,"sun":{"sidereal_longitude":85.9943,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":68.0934,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.0991,"elapsed_within_tithi_degrees":6.0991},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.0934,"elapsed_within_degrees":1.4267},"yoga":{"number":12,"name":"Dhruva","sum_longitude":154.0876},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2026,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461234.770833,"ahargana":1872769.2708,"kali_year":5128,"ayanamsa_lahiri":24.2236,"grahas":{"sun":{"sidereal_longitude":86.47129000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":67.04138999999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":4.0291},"mars":{"sidereal_longitude":45.46159,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":86.02659,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":98.35618999999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"venus":{"sidereal_longitude":129.07599,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":350.41899,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":311.6716,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":131.6716,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2026,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461234.770833,"kali_year":5128,"ahargana":1872769.2708,"sun":{"sidereal_longitude":85.9943,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":68.0934,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.0991,"elapsed_within_tithi_degrees":6.0991},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.0934,"elapsed_within_degrees":1.4267},"yoga":{"number":12,"name":"Dhruva","sum_longitude":154.0876},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.029,"elongation":17.901},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.029,"opposition_distance":162.099}},"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":13.59254734477829,"dayLengthDisplay":"13 Hours 35 Mins 33 Secs","nightLengthDisplay":"10 Hours 24 Mins 27 Secs","moonriseLocal":"03:56","moonsetLocal":"17:36","rahuKala":{"name":"Rāhu Kāla","start":"06:58","end":"08:40","startHours":6.96055855981082,"endHours":8.659626977908106,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:22","end":"12:03","startHours":10.358695396005391,"endHours":12.057763814102678,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:45","end":"15:27","startHours":13.756832232199965,"endHours":15.45590065029725,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:53","startHours":8.433084522161801,"endHours":8.88616943365441,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:50","end":"06:11","startHours":5.827846281079296,"endHours":6.1903142102733835,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:31","startHours":11.604678902610068,"endHours":12.510848725595288,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:21","startHours":3.449150495743095,"endHours":4.355320318728314,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:08","end":"05:16","startHours":4.128777862982009,"endHours":5.261490141713534,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:14","startHours":14.323188371565728,"endHours":15.229358194550947,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:39","end":"19:03","startHours":18.654037486491823,"endHours":19.054037486491822,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:51","end":"19:25","startHours":18.854037486491823,"endHours":19.420393625857585,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:36","end":"20:21","startHours":18.604037486491823,"endHours":20.354037486491823,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:31","startHours":23.60467890261007,"endHours":24.510848725595288,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:16","end":"06:58","startHours":5.261490141713534,"endHours":6.96055855981082,"quality":"auspicious"},{"name":"Kāla","start":"06:58","end":"08:40","startHours":6.96055855981082,"endHours":8.659626977908106,"quality":"inauspicious"},{"name":"Śubha","start":"08:40","end":"10:22","startHours":8.659626977908106,"endHours":10.358695396005391,"quality":"auspicious"},{"name":"Roga","start":"10:22","end":"12:03","startHours":10.358695396005391,"endHours":12.057763814102678,"quality":"inauspicious"},{"name":"Udveg","start":"12:03","end":"13:45","startHours":12.057763814102678,"endHours":13.756832232199965,"quality":"inauspicious"},{"name":"Chala","start":"13:45","end":"15:27","startHours":13.756832232199965,"endHours":15.45590065029725,"quality":"neutral"},{"name":"Labha","start":"15:27","end":"17:09","startHours":15.45590065029725,"endHours":17.154969068394536,"quality":"auspicious"},{"name":"Amṛta","start":"17:09","end":"18:51","startHours":17.154969068394536,"endHours":18.854037486491823,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:51","end":"20:09","startHours":18.854037486491823,"endHours":20.154969068394536,"quality":"neutral"},{"name":"Labha","start":"20:09","end":"21:27","startHours":20.154969068394536,"endHours":21.455900650297252,"quality":"auspicious"},{"name":"Amṛta","start":"21:27","end":"22:45","startHours":21.455900650297252,"endHours":22.756832232199965,"quality":"auspicious"},{"name":"Kāla","start":"22:45","end":"00:03","startHours":22.756832232199965,"endHours":24.057763814102678,"quality":"inauspicious"},{"name":"Śubha","start":"00:03","end":"01:22","startHours":24.057763814102678,"endHours":25.35869539600539,"quality":"auspicious"},{"name":"Roga","start":"01:22","end":"02:40","startHours":25.35869539600539,"endHours":26.659626977908104,"quality":"inauspicious"},{"name":"Udveg","start":"02:40","end":"03:58","startHours":26.659626977908104,"endHours":27.96055855981082,"quality":"inauspicious"},{"name":"Chala","start":"03:58","end":"05:16","startHours":27.96055855981082,"endHours":29.261490141713534,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.261490141713534,"endHours":6.261490141713534,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.261490141713534,"endHours":7.261490141713534,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.261490141713534,"endHours":8.261490141713534,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.261490141713534,"endHours":9.261490141713534,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.261490141713534,"endHours":10.261490141713534,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.261490141713534,"endHours":11.261490141713534,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.261490141713534,"endHours":12.261490141713534,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.261490141713534,"endHours":13.261490141713534,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.261490141713534,"endHours":14.261490141713534,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.261490141713534,"endHours":15.261490141713534,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.261490141713534,"endHours":16.261490141713534,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.261490141713534,"endHours":17.261490141713534,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.261490141713534,"endHours":18.261490141713534,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.261490141713534,"endHours":19.261490141713534,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.261490141713534,"endHours":20.261490141713534,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.261490141713534,"endHours":21.261490141713534,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.261490141713534,"endHours":22.261490141713534,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.261490141713534,"endHours":23.261490141713534,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.261490141713534,"endHours":24.261490141713534,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.261490141713534,"endHours":25.261490141713534,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.261490141713534,"endHours":26.261490141713534,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.261490141713534,"endHours":27.261490141713534,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.261490141713534,"endHours":28.261490141713534,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.261490141713534,"endHours":29.261490141713534,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","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":21.843274196747785,"eotMinutes":-5.361428846160681,"ayanamsa":24.2236}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"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 Caturdaśī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Dedicated festival walk for Māsika Śivarātri is not live yet; Somavāra (Monday) — 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 13, 2026 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"July 13, 2026 CE for Vārāṇasī (Kāśī): Kṛṣṇa Caturdaśī, sūryodaya 05:16, sūryāsta 18:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2026-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2026-07-13","sa":"https://sa.vidhyamitra.com/city/varanasi/2026-07-13","hi":"https://hi.vidhyamitra.com/city/varanasi/2026-07-13","x-default":"https://vidhyamitra.com/city/varanasi/2026-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-06T21:13:06.249Z","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":"2026-08-06T21:13:06.249Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-06T21:13:06.249Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}