{"id":"vidhyamitra:day:2409-01-30:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2409-01-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2409-01-30","date_display":"January 30, 2409 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":2409,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2600958.770833,"kali_year":5510,"ahargana":2012493.2708,"sun":{"sidereal_longitude":279.6217,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":74.0598,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.4381,"elapsed_within_tithi_degrees":10.4381},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.0598,"elapsed_within_degrees":7.3931},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":353.6815},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2409,"month":1,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2600958.770833,"ahargana":2012493.2708,"kali_year":5510,"ayanamsa_lahiri":29.5675,"grahas":{"sun":{"sidereal_longitude":280.62250599999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"moon":{"sidereal_longitude":75.213706,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-2.5381},"mars":{"sidereal_longitude":176.877706,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":293.388106,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":188.769006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":228.2675059999999,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":329.090006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":108.4217,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":288.4217,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":"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":2409,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2600958.770833,"kali_year":5510,"ahargana":2012493.2708,"sun":{"sidereal_longitude":279.6217,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":74.0598,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.4381,"elapsed_within_tithi_degrees":10.4381},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.0598,"elapsed_within_degrees":7.3931},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":353.6815},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.538,"elongation":154.438},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.538,"opposition_distance":25.562}},"eclipse_window_40days":[{"offset_days":2,"type":"lunar","occurs":true,"moon_latitude":-0.505,"opposition_distance":0.198},{"offset_days":16,"type":"solar","occurs":true,"moon_latitude":-0.547,"elongation":1.402}]},"calendars":{"vikram_samvat":2466,"vikram_samvatsara":"Citrabhānu","saka_samvat":2331,"saka_samvatsara":"Śukla","bengali_samvat":1816,"malayalam_era":1585,"nanakshahi_year":940,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Trayodaśī · Vikram 2466 Citrabhānu · Śaka 2331 Śukla"},"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":[]},"validity":{"eternal":false,"valid_from":"2409-01-30T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga January 30, 2409 CE · Vidhyamitra","description":"Vedic pañchāṅga for January 30, 2409 CE: Śukla Trayodaśī · Ārdrā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2409-01-30","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2409-01-30","sa":"https://sa.vidhyamitra.com/day/2409-01-30","hi":"https://hi.vidhyamitra.com/day/2409-01-30","x-default":"https://vidhyamitra.com/day/2409-01-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-13T04:55:12.851Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-13T04:55:12.851Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-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","Divyāṁśa-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"}}}